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Finding the Third Proportional to 32,985 and 71,154

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Solution

The third proportional to 32,985 and 71,154 is: 153,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,985 : 71,154 = 71,154 : x
  2. Step 2: Convert to fraction form
    32,985/71,154 = 71,154/x
  3. Step 3: Cross multiply
    32,985x = 71,154 × 71,154
  4. Step 4: Simplify right side
    32,985x = 5,062,891,716
  5. Step 5: Solve for x
    x = 5,062,891,716/32,985
  6. Step 6: Final answer
    x = 153,490.73

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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.