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Finding the Third Proportional to 48,413 and 74,781

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Solution

The third proportional to 48,413 and 74,781 is: 115,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,413 : 74,781 = 74,781 : x
  2. Step 2: Convert to fraction form
    48,413/74,781 = 74,781/x
  3. Step 3: Cross multiply
    48,413x = 74,781 × 74,781
  4. Step 4: Simplify right side
    48,413x = 5,592,197,961
  5. Step 5: Solve for x
    x = 5,592,197,961/48,413
  6. Step 6: Final answer
    x = 115,510.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.