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Finding the Third Proportional to 48,218 and 74,648

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Solution

The third proportional to 48,218 and 74,648 is: 115,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,218 : 74,648 = 74,648 : x
  2. Step 2: Convert to fraction form
    48,218/74,648 = 74,648/x
  3. Step 3: Cross multiply
    48,218x = 74,648 × 74,648
  4. Step 4: Simplify right side
    48,218x = 5,572,323,904
  5. Step 5: Solve for x
    x = 5,572,323,904/48,218
  6. Step 6: Final answer
    x = 115,565.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.