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Finding the Third Proportional to 22,963.50 and 38,211.75

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Solution

The third proportional to 22,963.50 and 38,211.75 is: 63,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 38,211.75 = 38,211.75 : x
  2. Step 2: Convert to fraction form
    22,963.50/38,211.75 = 38,211.75/x
  3. Step 3: Cross multiply
    22,963.50x = 38,211.75 × 38,211.75
  4. Step 4: Simplify right side
    22,963.50x = 1,460,137,838.06
  5. Step 5: Solve for x
    x = 1,460,137,838.06/22,963.50
  6. Step 6: Final answer
    x = 63,585.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.