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Finding the Third Proportional to 32,516 and 71,560

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Solution

The third proportional to 32,516 and 71,560 is: 157,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,516 : 71,560 = 71,560 : x
  2. Step 2: Convert to fraction form
    32,516/71,560 = 71,560/x
  3. Step 3: Cross multiply
    32,516x = 71,560 × 71,560
  4. Step 4: Simplify right side
    32,516x = 5,120,833,600
  5. Step 5: Solve for x
    x = 5,120,833,600/32,516
  6. Step 6: Final answer
    x = 157,486.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.