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Finding the Third Proportional to 40,532 and 64,750

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Solution

The third proportional to 40,532 and 64,750 is: 103,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,532 : 64,750 = 64,750 : x
  2. Step 2: Convert to fraction form
    40,532/64,750 = 64,750/x
  3. Step 3: Cross multiply
    40,532x = 64,750 × 64,750
  4. Step 4: Simplify right side
    40,532x = 4,192,562,500
  5. Step 5: Solve for x
    x = 4,192,562,500/40,532
  6. Step 6: Final answer
    x = 103,438.33

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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.