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Finding the Third Proportional to 65,730.50 and 71,585

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Solution

The third proportional to 65,730.50 and 71,585 is: 77,960.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,730.50 : 71,585 = 71,585 : x
  2. Step 2: Convert to fraction form
    65,730.50/71,585 = 71,585/x
  3. Step 3: Cross multiply
    65,730.50x = 71,585 × 71,585
  4. Step 4: Simplify right side
    65,730.50x = 5,124,412,225
  5. Step 5: Solve for x
    x = 5,124,412,225/65,730.50
  6. Step 6: Final answer
    x = 77,960.95

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.