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Finding the Third Proportional to 32,444 and 69,070

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Solution

The third proportional to 32,444 and 69,070 is: 147,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,444 : 69,070 = 69,070 : x
  2. Step 2: Convert to fraction form
    32,444/69,070 = 69,070/x
  3. Step 3: Cross multiply
    32,444x = 69,070 × 69,070
  4. Step 4: Simplify right side
    32,444x = 4,770,664,900
  5. Step 5: Solve for x
    x = 4,770,664,900/32,444
  6. Step 6: Final answer
    x = 147,043.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.