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Finding the Third Proportional to 48,469 and 65,470

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Solution

The third proportional to 48,469 and 65,470 is: 88,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,469 : 65,470 = 65,470 : x
  2. Step 2: Convert to fraction form
    48,469/65,470 = 65,470/x
  3. Step 3: Cross multiply
    48,469x = 65,470 × 65,470
  4. Step 4: Simplify right side
    48,469x = 4,286,320,900
  5. Step 5: Solve for x
    x = 4,286,320,900/48,469
  6. Step 6: Final answer
    x = 88,434.28

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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.