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Finding the Third Proportional to 31,111.88 and 48,254.63

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Solution

The third proportional to 31,111.88 and 48,254.63 is: 74,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.88 : 48,254.63 = 48,254.63 : x
  2. Step 2: Convert to fraction form
    31,111.88/48,254.63 = 48,254.63/x
  3. Step 3: Cross multiply
    31,111.88x = 48,254.63 × 48,254.63
  4. Step 4: Simplify right side
    31,111.88x = 2,328,508,833.89
  5. Step 5: Solve for x
    x = 2,328,508,833.89/31,111.88
  6. Step 6: Final answer
    x = 74,843.09

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