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Finding the Third Proportional to 8,461.49 and 13,154.91

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Solution

The third proportional to 8,461.49 and 13,154.91 is: 20,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.49 : 13,154.91 = 13,154.91 : x
  2. Step 2: Convert to fraction form
    8,461.49/13,154.91 = 13,154.91/x
  3. Step 3: Cross multiply
    8,461.49x = 13,154.91 × 13,154.91
  4. Step 4: Simplify right side
    8,461.49x = 173,051,558.45
  5. Step 5: Solve for x
    x = 173,051,558.45/8,461.49
  6. Step 6: Final answer
    x = 20,451.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.