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Finding the Third Proportional to 7,454.16 and 10,447.97

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Solution

The third proportional to 7,454.16 and 10,447.97 is: 14,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.16 : 10,447.97 = 10,447.97 : x
  2. Step 2: Convert to fraction form
    7,454.16/10,447.97 = 10,447.97/x
  3. Step 3: Cross multiply
    7,454.16x = 10,447.97 × 10,447.97
  4. Step 4: Simplify right side
    7,454.16x = 109,160,051.00
  5. Step 5: Solve for x
    x = 109,160,051.00/7,454.16
  6. Step 6: Final answer
    x = 14,644.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.