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Finding the Third Proportional to 5,730.43 and 9,118.20

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Solution

The third proportional to 5,730.43 and 9,118.20 is: 14,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.43 : 9,118.20 = 9,118.20 : x
  2. Step 2: Convert to fraction form
    5,730.43/9,118.20 = 9,118.20/x
  3. Step 3: Cross multiply
    5,730.43x = 9,118.20 × 9,118.20
  4. Step 4: Simplify right side
    5,730.43x = 83,141,485.76
  5. Step 5: Solve for x
    x = 83,141,485.76/5,730.43
  6. Step 6: Final answer
    x = 14,508.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.