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Finding the Third Proportional to 48,411 and 74,778

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Solution

The third proportional to 48,411 and 74,778 is: 115,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,411 : 74,778 = 74,778 : x
  2. Step 2: Convert to fraction form
    48,411/74,778 = 74,778/x
  3. Step 3: Cross multiply
    48,411x = 74,778 × 74,778
  4. Step 4: Simplify right side
    48,411x = 5,591,749,284
  5. Step 5: Solve for x
    x = 5,591,749,284/48,411
  6. Step 6: Final answer
    x = 115,505.76

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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.