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Finding the Third Proportional to 31,012.88 and 67,937.06

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Solution

The third proportional to 31,012.88 and 67,937.06 is: 148,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.88 : 67,937.06 = 67,937.06 : x
  2. Step 2: Convert to fraction form
    31,012.88/67,937.06 = 67,937.06/x
  3. Step 3: Cross multiply
    31,012.88x = 67,937.06 × 67,937.06
  4. Step 4: Simplify right side
    31,012.88x = 4,615,444,461.13
  5. Step 5: Solve for x
    x = 4,615,444,461.13/31,012.88
  6. Step 6: Final answer
    x = 148,823.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.