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Finding the Third Proportional to 48,411 and 74,763

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Solution

The third proportional to 48,411 and 74,763 is: 115,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,411 : 74,763 = 74,763 : x
  2. Step 2: Convert to fraction form
    48,411/74,763 = 74,763/x
  3. Step 3: Cross multiply
    48,411x = 74,763 × 74,763
  4. Step 4: Simplify right side
    48,411x = 5,589,506,169
  5. Step 5: Solve for x
    x = 5,589,506,169/48,411
  6. Step 6: Final answer
    x = 115,459.42

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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.