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Finding the Third Proportional to 48,516 and 65,508

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Solution

The third proportional to 48,516 and 65,508 is: 88,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,516 : 65,508 = 65,508 : x
  2. Step 2: Convert to fraction form
    48,516/65,508 = 65,508/x
  3. Step 3: Cross multiply
    48,516x = 65,508 × 65,508
  4. Step 4: Simplify right side
    48,516x = 4,291,298,064
  5. Step 5: Solve for x
    x = 4,291,298,064/48,516
  6. Step 6: Final answer
    x = 88,451.19

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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.