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Finding the Third Proportional to 9,156.16 and 13,672.55

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Solution

The third proportional to 9,156.16 and 13,672.55 is: 20,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.16 : 13,672.55 = 13,672.55 : x
  2. Step 2: Convert to fraction form
    9,156.16/13,672.55 = 13,672.55/x
  3. Step 3: Cross multiply
    9,156.16x = 13,672.55 × 13,672.55
  4. Step 4: Simplify right side
    9,156.16x = 186,938,538.05
  5. Step 5: Solve for x
    x = 186,938,538.05/9,156.16
  6. Step 6: Final answer
    x = 20,416.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.