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Finding the Third Proportional to 22,963.50 and 52,290.56

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Solution

The third proportional to 22,963.50 and 52,290.56 is: 119,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 52,290.56 = 52,290.56 : x
  2. Step 2: Convert to fraction form
    22,963.50/52,290.56 = 52,290.56/x
  3. Step 3: Cross multiply
    22,963.50x = 52,290.56 × 52,290.56
  4. Step 4: Simplify right side
    22,963.50x = 2,734,302,926.57
  5. Step 5: Solve for x
    x = 2,734,302,926.57/22,963.50
  6. Step 6: Final answer
    x = 119,071.70

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.