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Finding the Third Proportional to 32,527 and 48,514

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Solution

The third proportional to 32,527 and 48,514 is: 72,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,527 : 48,514 = 48,514 : x
  2. Step 2: Convert to fraction form
    32,527/48,514 = 48,514/x
  3. Step 3: Cross multiply
    32,527x = 48,514 × 48,514
  4. Step 4: Simplify right side
    32,527x = 2,353,608,196
  5. Step 5: Solve for x
    x = 2,353,608,196/32,527
  6. Step 6: Final answer
    x = 72,358.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.