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Finding the Third Proportional to 18,031.50 and 43,681.50

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Solution

The third proportional to 18,031.50 and 43,681.50 is: 105,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,031.50 : 43,681.50 = 43,681.50 : x
  2. Step 2: Convert to fraction form
    18,031.50/43,681.50 = 43,681.50/x
  3. Step 3: Cross multiply
    18,031.50x = 43,681.50 × 43,681.50
  4. Step 4: Simplify right side
    18,031.50x = 1,908,073,442.25
  5. Step 5: Solve for x
    x = 1,908,073,442.25/18,031.50
  6. Step 6: Final answer
    x = 105,818.90

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.