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Finding the Third Proportional to 34,672.50 and 81,031.50

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Solution

The third proportional to 34,672.50 and 81,031.50 is: 189,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,672.50 : 81,031.50 = 81,031.50 : x
  2. Step 2: Convert to fraction form
    34,672.50/81,031.50 = 81,031.50/x
  3. Step 3: Cross multiply
    34,672.50x = 81,031.50 × 81,031.50
  4. Step 4: Simplify right side
    34,672.50x = 6,566,103,992.25
  5. Step 5: Solve for x
    x = 6,566,103,992.25/34,672.50
  6. Step 6: Final answer
    x = 189,374.98

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.