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Finding the Third Proportional to 8,659.69 and 13,946.63

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Solution

The third proportional to 8,659.69 and 13,946.63 is: 22,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.69 : 13,946.63 = 13,946.63 : x
  2. Step 2: Convert to fraction form
    8,659.69/13,946.63 = 13,946.63/x
  3. Step 3: Cross multiply
    8,659.69x = 13,946.63 × 13,946.63
  4. Step 4: Simplify right side
    8,659.69x = 194,508,348.89
  5. Step 5: Solve for x
    x = 194,508,348.89/8,659.69
  6. Step 6: Final answer
    x = 22,461.36

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.