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Finding the Third Proportional to 55,482.50 and 81,275

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Solution

The third proportional to 55,482.50 and 81,275 is: 119,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,482.50 : 81,275 = 81,275 : x
  2. Step 2: Convert to fraction form
    55,482.50/81,275 = 81,275/x
  3. Step 3: Cross multiply
    55,482.50x = 81,275 × 81,275
  4. Step 4: Simplify right side
    55,482.50x = 6,605,625,625
  5. Step 5: Solve for x
    x = 6,605,625,625/55,482.50
  6. Step 6: Final answer
    x = 119,057.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.