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Finding the Third Proportional to 39,653 and 59,484

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Solution

The third proportional to 39,653 and 59,484 is: 89,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,653 : 59,484 = 59,484 : x
  2. Step 2: Convert to fraction form
    39,653/59,484 = 59,484/x
  3. Step 3: Cross multiply
    39,653x = 59,484 × 59,484
  4. Step 4: Simplify right side
    39,653x = 3,538,346,256
  5. Step 5: Solve for x
    x = 3,538,346,256/39,653
  6. Step 6: Final answer
    x = 89,232.75

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