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Finding the Third Proportional to 48,357 and 72,555.75

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Solution

The third proportional to 48,357 and 72,555.75 is: 108,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,357 : 72,555.75 = 72,555.75 : x
  2. Step 2: Convert to fraction form
    48,357/72,555.75 = 72,555.75/x
  3. Step 3: Cross multiply
    48,357x = 72,555.75 × 72,555.75
  4. Step 4: Simplify right side
    48,357x = 5,264,336,858.06
  5. Step 5: Solve for x
    x = 5,264,336,858.06/48,357
  6. Step 6: Final answer
    x = 108,864.01

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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.