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Finding the Third Proportional to 32,672 and 69,952

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Solution

The third proportional to 32,672 and 69,952 is: 149,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,672 : 69,952 = 69,952 : x
  2. Step 2: Convert to fraction form
    32,672/69,952 = 69,952/x
  3. Step 3: Cross multiply
    32,672x = 69,952 × 69,952
  4. Step 4: Simplify right side
    32,672x = 4,893,282,304
  5. Step 5: Solve for x
    x = 4,893,282,304/32,672
  6. Step 6: Final answer
    x = 149,769.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.