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Finding the Third Proportional to 10,737 and 15,752.25

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Solution

The third proportional to 10,737 and 15,752.25 is: 23,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737 : 15,752.25 = 15,752.25 : x
  2. Step 2: Convert to fraction form
    10,737/15,752.25 = 15,752.25/x
  3. Step 3: Cross multiply
    10,737x = 15,752.25 × 15,752.25
  4. Step 4: Simplify right side
    10,737x = 248,133,380.06
  5. Step 5: Solve for x
    x = 248,133,380.06/10,737
  6. Step 6: Final answer
    x = 23,110.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.