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Finding the Third Proportional to 34,588 and 67,448

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Solution

The third proportional to 34,588 and 67,448 is: 131,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,588 : 67,448 = 67,448 : x
  2. Step 2: Convert to fraction form
    34,588/67,448 = 67,448/x
  3. Step 3: Cross multiply
    34,588x = 67,448 × 67,448
  4. Step 4: Simplify right side
    34,588x = 4,549,232,704
  5. Step 5: Solve for x
    x = 4,549,232,704/34,588
  6. Step 6: Final answer
    x = 131,526.33

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.