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Finding the Third Proportional to 48,119.06 and 64,797.47

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Solution

The third proportional to 48,119.06 and 64,797.47 is: 87,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,119.06 : 64,797.47 = 64,797.47 : x
  2. Step 2: Convert to fraction form
    48,119.06/64,797.47 = 64,797.47/x
  3. Step 3: Cross multiply
    48,119.06x = 64,797.47 × 64,797.47
  4. Step 4: Simplify right side
    48,119.06x = 4,198,711,956.41
  5. Step 5: Solve for x
    x = 4,198,711,956.41/48,119.06
  6. Step 6: Final answer
    x = 87,256.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.