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Finding the Third Proportional to 48,424 and 71,340

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Solution

The third proportional to 48,424 and 71,340 is: 105,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,424 : 71,340 = 71,340 : x
  2. Step 2: Convert to fraction form
    48,424/71,340 = 71,340/x
  3. Step 3: Cross multiply
    48,424x = 71,340 × 71,340
  4. Step 4: Simplify right side
    48,424x = 5,089,395,600
  5. Step 5: Solve for x
    x = 5,089,395,600/48,424
  6. Step 6: Final answer
    x = 105,100.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.