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Finding the Third Proportional to 31,838.06 and 68,050.13

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Solution

The third proportional to 31,838.06 and 68,050.13 is: 145,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838.06 : 68,050.13 = 68,050.13 : x
  2. Step 2: Convert to fraction form
    31,838.06/68,050.13 = 68,050.13/x
  3. Step 3: Cross multiply
    31,838.06x = 68,050.13 × 68,050.13
  4. Step 4: Simplify right side
    31,838.06x = 4,630,819,512.52
  5. Step 5: Solve for x
    x = 4,630,819,512.52/31,838.06
  6. Step 6: Final answer
    x = 145,449.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.