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Finding the Third Proportional to 32,930 and 52,312

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Solution

The third proportional to 32,930 and 52,312 is: 83,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,930 : 52,312 = 52,312 : x
  2. Step 2: Convert to fraction form
    32,930/52,312 = 52,312/x
  3. Step 3: Cross multiply
    32,930x = 52,312 × 52,312
  4. Step 4: Simplify right side
    32,930x = 2,736,545,344
  5. Step 5: Solve for x
    x = 2,736,545,344/32,930
  6. Step 6: Final answer
    x = 83,101.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.