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Finding the Third Proportional to 32,425 and 59,522

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Solution

The third proportional to 32,425 and 59,522 is: 109,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,425 : 59,522 = 59,522 : x
  2. Step 2: Convert to fraction form
    32,425/59,522 = 59,522/x
  3. Step 3: Cross multiply
    32,425x = 59,522 × 59,522
  4. Step 4: Simplify right side
    32,425x = 3,542,868,484
  5. Step 5: Solve for x
    x = 3,542,868,484/32,425
  6. Step 6: Final answer
    x = 109,263.48

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.