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Finding the Third Proportional to 40,010 and 84,952

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Solution

The third proportional to 40,010 and 84,952 is: 180,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,010 : 84,952 = 84,952 : x
  2. Step 2: Convert to fraction form
    40,010/84,952 = 84,952/x
  3. Step 3: Cross multiply
    40,010x = 84,952 × 84,952
  4. Step 4: Simplify right side
    40,010x = 7,216,842,304
  5. Step 5: Solve for x
    x = 7,216,842,304/40,010
  6. Step 6: Final answer
    x = 180,375.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.