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Finding the Third Proportional to 48,494 and 65,490

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Solution

The third proportional to 48,494 and 65,490 is: 88,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,494 : 65,490 = 65,490 : x
  2. Step 2: Convert to fraction form
    48,494/65,490 = 65,490/x
  3. Step 3: Cross multiply
    48,494x = 65,490 × 65,490
  4. Step 4: Simplify right side
    48,494x = 4,288,940,100
  5. Step 5: Solve for x
    x = 4,288,940,100/48,494
  6. Step 6: Final answer
    x = 88,442.70

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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.