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Finding the Third Proportional to 32,339 and 69,403

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Solution

The third proportional to 32,339 and 69,403 is: 148,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,339 : 69,403 = 69,403 : x
  2. Step 2: Convert to fraction form
    32,339/69,403 = 69,403/x
  3. Step 3: Cross multiply
    32,339x = 69,403 × 69,403
  4. Step 4: Simplify right side
    32,339x = 4,816,776,409
  5. Step 5: Solve for x
    x = 4,816,776,409/32,339
  6. Step 6: Final answer
    x = 148,946.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.