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Finding the Third Proportional to 10,297.13 and 16,425.28

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Solution

The third proportional to 10,297.13 and 16,425.28 is: 26,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 16,425.28 = 16,425.28 : x
  2. Step 2: Convert to fraction form
    10,297.13/16,425.28 = 16,425.28/x
  3. Step 3: Cross multiply
    10,297.13x = 16,425.28 × 16,425.28
  4. Step 4: Simplify right side
    10,297.13x = 269,789,864.14
  5. Step 5: Solve for x
    x = 269,789,864.14/10,297.13
  6. Step 6: Final answer
    x = 26,200.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.