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Finding the Third Proportional to 9,572.06 and 21,031.88

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Solution

The third proportional to 9,572.06 and 21,031.88 is: 46,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.06 : 21,031.88 = 21,031.88 : x
  2. Step 2: Convert to fraction form
    9,572.06/21,031.88 = 21,031.88/x
  3. Step 3: Cross multiply
    9,572.06x = 21,031.88 × 21,031.88
  4. Step 4: Simplify right side
    9,572.06x = 442,339,766.02
  5. Step 5: Solve for x
    x = 442,339,766.02/9,572.06
  6. Step 6: Final answer
    x = 46,211.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.