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Finding the Third Proportional to 39,428 and 59,322

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Solution

The third proportional to 39,428 and 59,322 is: 89,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,428 : 59,322 = 59,322 : x
  2. Step 2: Convert to fraction form
    39,428/59,322 = 59,322/x
  3. Step 3: Cross multiply
    39,428x = 59,322 × 59,322
  4. Step 4: Simplify right side
    39,428x = 3,519,099,684
  5. Step 5: Solve for x
    x = 3,519,099,684/39,428
  6. Step 6: Final answer
    x = 89,253.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.