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Finding the Third Proportional to 10,531.13 and 22,649.06

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Solution

The third proportional to 10,531.13 and 22,649.06 is: 48,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.13 : 22,649.06 = 22,649.06 : x
  2. Step 2: Convert to fraction form
    10,531.13/22,649.06 = 22,649.06/x
  3. Step 3: Cross multiply
    10,531.13x = 22,649.06 × 22,649.06
  4. Step 4: Simplify right side
    10,531.13x = 512,980,032.13
  5. Step 5: Solve for x
    x = 512,980,032.13/10,531.13
  6. Step 6: Final answer
    x = 48,710.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.