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Finding the Third Proportional to 32,985.42 and 71,891.30

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Solution

The third proportional to 32,985.42 and 71,891.30 is: 156,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,985.42 : 71,891.30 = 71,891.30 : x
  2. Step 2: Convert to fraction form
    32,985.42/71,891.30 = 71,891.30/x
  3. Step 3: Cross multiply
    32,985.42x = 71,891.30 × 71,891.30
  4. Step 4: Simplify right side
    32,985.42x = 5,168,358,566.37
  5. Step 5: Solve for x
    x = 5,168,358,566.37/32,985.42
  6. Step 6: Final answer
    x = 156,686.14

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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.