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Finding the Third Proportional to 7,497.56 and 16,291.13

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Solution

The third proportional to 7,497.56 and 16,291.13 is: 35,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.56 : 16,291.13 = 16,291.13 : x
  2. Step 2: Convert to fraction form
    7,497.56/16,291.13 = 16,291.13/x
  3. Step 3: Cross multiply
    7,497.56x = 16,291.13 × 16,291.13
  4. Step 4: Simplify right side
    7,497.56x = 265,400,753.77
  5. Step 5: Solve for x
    x = 265,400,753.77/7,497.56
  6. Step 6: Final answer
    x = 35,398.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.