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Finding the Third Proportional to 10,297.13 and 14,725.13

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Solution

The third proportional to 10,297.13 and 14,725.13 is: 21,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 14,725.13 = 14,725.13 : x
  2. Step 2: Convert to fraction form
    10,297.13/14,725.13 = 14,725.13/x
  3. Step 3: Cross multiply
    10,297.13x = 14,725.13 × 14,725.13
  4. Step 4: Simplify right side
    10,297.13x = 216,829,306.27
  5. Step 5: Solve for x
    x = 216,829,306.27/10,297.13
  6. Step 6: Final answer
    x = 21,057.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.