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Finding the Third Proportional to 31,428 and 48,610.13

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Solution

The third proportional to 31,428 and 48,610.13 is: 75,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,428 : 48,610.13 = 48,610.13 : x
  2. Step 2: Convert to fraction form
    31,428/48,610.13 = 48,610.13/x
  3. Step 3: Cross multiply
    31,428x = 48,610.13 × 48,610.13
  4. Step 4: Simplify right side
    31,428x = 2,362,944,252.52
  5. Step 5: Solve for x
    x = 2,362,944,252.52/31,428
  6. Step 6: Final answer
    x = 75,185.96

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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.