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Finding the Third Proportional to 32,518 and 70,262

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Solution

The third proportional to 32,518 and 70,262 is: 151,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,518 : 70,262 = 70,262 : x
  2. Step 2: Convert to fraction form
    32,518/70,262 = 70,262/x
  3. Step 3: Cross multiply
    32,518x = 70,262 × 70,262
  4. Step 4: Simplify right side
    32,518x = 4,936,748,644
  5. Step 5: Solve for x
    x = 4,936,748,644/32,518
  6. Step 6: Final answer
    x = 151,815.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.