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Finding the Third Proportional to 7,531.13 and 16,402.88

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Solution

The third proportional to 7,531.13 and 16,402.88 is: 35,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.13 : 16,402.88 = 16,402.88 : x
  2. Step 2: Convert to fraction form
    7,531.13/16,402.88 = 16,402.88/x
  3. Step 3: Cross multiply
    7,531.13x = 16,402.88 × 16,402.88
  4. Step 4: Simplify right side
    7,531.13x = 269,054,308.27
  5. Step 5: Solve for x
    x = 269,054,308.27/7,531.13
  6. Step 6: Final answer
    x = 35,725.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.