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Finding the Third Proportional to 32,562 and 68,931

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Solution

The third proportional to 32,562 and 68,931 is: 145,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,562 : 68,931 = 68,931 : x
  2. Step 2: Convert to fraction form
    32,562/68,931 = 68,931/x
  3. Step 3: Cross multiply
    32,562x = 68,931 × 68,931
  4. Step 4: Simplify right side
    32,562x = 4,751,482,761
  5. Step 5: Solve for x
    x = 4,751,482,761/32,562
  6. Step 6: Final answer
    x = 145,921.10

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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.