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Finding the Third Proportional to 25,659 and 34,587

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Solution

The third proportional to 25,659 and 34,587 is: 46,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,659 : 34,587 = 34,587 : x
  2. Step 2: Convert to fraction form
    25,659/34,587 = 34,587/x
  3. Step 3: Cross multiply
    25,659x = 34,587 × 34,587
  4. Step 4: Simplify right side
    25,659x = 1,196,260,569
  5. Step 5: Solve for x
    x = 1,196,260,569/25,659
  6. Step 6: Final answer
    x = 46,621.48

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.