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Finding the Third Proportional to 48,840 and 73,411

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Solution

The third proportional to 48,840 and 73,411 is: 110,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,840 : 73,411 = 73,411 : x
  2. Step 2: Convert to fraction form
    48,840/73,411 = 73,411/x
  3. Step 3: Cross multiply
    48,840x = 73,411 × 73,411
  4. Step 4: Simplify right side
    48,840x = 5,389,174,921
  5. Step 5: Solve for x
    x = 5,389,174,921/48,840
  6. Step 6: Final answer
    x = 110,343.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.