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Finding the Third Proportional to 48,407 and 77,984.50

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Solution

The third proportional to 48,407 and 77,984.50 is: 125,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,407 : 77,984.50 = 77,984.50 : x
  2. Step 2: Convert to fraction form
    48,407/77,984.50 = 77,984.50/x
  3. Step 3: Cross multiply
    48,407x = 77,984.50 × 77,984.50
  4. Step 4: Simplify right side
    48,407x = 6,081,582,240.25
  5. Step 5: Solve for x
    x = 6,081,582,240.25/48,407
  6. Step 6: Final answer
    x = 125,634.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.