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Finding the Third Proportional to 32,687 and 48,898.50

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Solution

The third proportional to 32,687 and 48,898.50 is: 73,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,687 : 48,898.50 = 48,898.50 : x
  2. Step 2: Convert to fraction form
    32,687/48,898.50 = 48,898.50/x
  3. Step 3: Cross multiply
    32,687x = 48,898.50 × 48,898.50
  4. Step 4: Simplify right side
    32,687x = 2,391,063,302.25
  5. Step 5: Solve for x
    x = 2,391,063,302.25/32,687
  6. Step 6: Final answer
    x = 73,150.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.