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Finding the Third Proportional to 31,838.70 and 68,867.72

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Solution

The third proportional to 31,838.70 and 68,867.72 is: 148,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838.70 : 68,867.72 = 68,867.72 : x
  2. Step 2: Convert to fraction form
    31,838.70/68,867.72 = 68,867.72/x
  3. Step 3: Cross multiply
    31,838.70x = 68,867.72 × 68,867.72
  4. Step 4: Simplify right side
    31,838.70x = 4,742,762,685.83
  5. Step 5: Solve for x
    x = 4,742,762,685.83/31,838.70
  6. Step 6: Final answer
    x = 148,962.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.