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Finding the Third Proportional to 31,315.88 and 55,192.13

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Solution

The third proportional to 31,315.88 and 55,192.13 is: 97,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,315.88 : 55,192.13 = 55,192.13 : x
  2. Step 2: Convert to fraction form
    31,315.88/55,192.13 = 55,192.13/x
  3. Step 3: Cross multiply
    31,315.88x = 55,192.13 × 55,192.13
  4. Step 4: Simplify right side
    31,315.88x = 3,046,170,662.02
  5. Step 5: Solve for x
    x = 3,046,170,662.02/31,315.88
  6. Step 6: Final answer
    x = 97,272.41

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.