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Finding the Third Proportional to 10,562.06 and 22,948.88

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Solution

The third proportional to 10,562.06 and 22,948.88 is: 49,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.06 : 22,948.88 = 22,948.88 : x
  2. Step 2: Convert to fraction form
    10,562.06/22,948.88 = 22,948.88/x
  3. Step 3: Cross multiply
    10,562.06x = 22,948.88 × 22,948.88
  4. Step 4: Simplify right side
    10,562.06x = 526,650,863.77
  5. Step 5: Solve for x
    x = 526,650,863.77/10,562.06
  6. Step 6: Final answer
    x = 49,862.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.