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Finding the Third Proportional to 48,235.50 and 72,657

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Solution

The third proportional to 48,235.50 and 72,657 is: 109,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,235.50 : 72,657 = 72,657 : x
  2. Step 2: Convert to fraction form
    48,235.50/72,657 = 72,657/x
  3. Step 3: Cross multiply
    48,235.50x = 72,657 × 72,657
  4. Step 4: Simplify right side
    48,235.50x = 5,279,039,649
  5. Step 5: Solve for x
    x = 5,279,039,649/48,235.50
  6. Step 6: Final answer
    x = 109,443.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.