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Finding the Third Proportional to 32,686.50 and 52,230

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Solution

The third proportional to 32,686.50 and 52,230 is: 83,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.50 : 52,230 = 52,230 : x
  2. Step 2: Convert to fraction form
    32,686.50/52,230 = 52,230/x
  3. Step 3: Cross multiply
    32,686.50x = 52,230 × 52,230
  4. Step 4: Simplify right side
    32,686.50x = 2,727,972,900
  5. Step 5: Solve for x
    x = 2,727,972,900/32,686.50
  6. Step 6: Final answer
    x = 83,458.70

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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.