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Finding the Third Proportional to 32,481 and 70,840

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Solution

The third proportional to 32,481 and 70,840 is: 154,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481 : 70,840 = 70,840 : x
  2. Step 2: Convert to fraction form
    32,481/70,840 = 70,840/x
  3. Step 3: Cross multiply
    32,481x = 70,840 × 70,840
  4. Step 4: Simplify right side
    32,481x = 5,018,305,600
  5. Step 5: Solve for x
    x = 5,018,305,600/32,481
  6. Step 6: Final answer
    x = 154,499.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.