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Finding the Third Proportional to 7,366.50 and 15,899.91

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Solution

The third proportional to 7,366.50 and 15,899.91 is: 34,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366.50 : 15,899.91 = 15,899.91 : x
  2. Step 2: Convert to fraction form
    7,366.50/15,899.91 = 15,899.91/x
  3. Step 3: Cross multiply
    7,366.50x = 15,899.91 × 15,899.91
  4. Step 4: Simplify right side
    7,366.50x = 252,807,018.76
  5. Step 5: Solve for x
    x = 252,807,018.76/7,366.50
  6. Step 6: Final answer
    x = 34,318.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.