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Finding the Third Proportional to 31,554 and 48,849.75

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Solution

The third proportional to 31,554 and 48,849.75 is: 75,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,554 : 48,849.75 = 48,849.75 : x
  2. Step 2: Convert to fraction form
    31,554/48,849.75 = 48,849.75/x
  3. Step 3: Cross multiply
    31,554x = 48,849.75 × 48,849.75
  4. Step 4: Simplify right side
    31,554x = 2,386,298,075.06
  5. Step 5: Solve for x
    x = 2,386,298,075.06/31,554
  6. Step 6: Final answer
    x = 75,625.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.