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Finding the Third Proportional to 10,609 and 22,963.50

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Solution

The third proportional to 10,609 and 22,963.50 is: 49,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609 : 22,963.50 = 22,963.50 : x
  2. Step 2: Convert to fraction form
    10,609/22,963.50 = 22,963.50/x
  3. Step 3: Cross multiply
    10,609x = 22,963.50 × 22,963.50
  4. Step 4: Simplify right side
    10,609x = 527,322,332.25
  5. Step 5: Solve for x
    x = 527,322,332.25/10,609
  6. Step 6: Final answer
    x = 49,705.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.