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Finding the Third Proportional to 9,291.38 and 13,948.88

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Solution

The third proportional to 9,291.38 and 13,948.88 is: 20,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.38 : 13,948.88 = 13,948.88 : x
  2. Step 2: Convert to fraction form
    9,291.38/13,948.88 = 13,948.88/x
  3. Step 3: Cross multiply
    9,291.38x = 13,948.88 × 13,948.88
  4. Step 4: Simplify right side
    9,291.38x = 194,571,113.77
  5. Step 5: Solve for x
    x = 194,571,113.77/9,291.38
  6. Step 6: Final answer
    x = 20,941.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.