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Finding the Third Proportional to 8,561.85 and 13,434.40

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Solution

The third proportional to 8,561.85 and 13,434.40 is: 21,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.85 : 13,434.40 = 13,434.40 : x
  2. Step 2: Convert to fraction form
    8,561.85/13,434.40 = 13,434.40/x
  3. Step 3: Cross multiply
    8,561.85x = 13,434.40 × 13,434.40
  4. Step 4: Simplify right side
    8,561.85x = 180,483,061.38
  5. Step 5: Solve for x
    x = 180,483,061.38/8,561.85
  6. Step 6: Final answer
    x = 21,079.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.