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Finding the Third Proportional to 5,705.28 and 9,113.92

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Solution

The third proportional to 5,705.28 and 9,113.92 is: 14,559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.28 : 9,113.92 = 9,113.92 : x
  2. Step 2: Convert to fraction form
    5,705.28/9,113.92 = 9,113.92/x
  3. Step 3: Cross multiply
    5,705.28x = 9,113.92 × 9,113.92
  4. Step 4: Simplify right side
    5,705.28x = 83,063,607.54
  5. Step 5: Solve for x
    x = 83,063,607.54/5,705.28
  6. Step 6: Final answer
    x = 14,559.08

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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.