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Finding the Third Proportional to 12,159.28 and 26,194.64

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Solution

The third proportional to 12,159.28 and 26,194.64 is: 56,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.28 : 26,194.64 = 26,194.64 : x
  2. Step 2: Convert to fraction form
    12,159.28/26,194.64 = 26,194.64/x
  3. Step 3: Cross multiply
    12,159.28x = 26,194.64 × 26,194.64
  4. Step 4: Simplify right side
    12,159.28x = 686,159,197.47
  5. Step 5: Solve for x
    x = 686,159,197.47/12,159.28
  6. Step 6: Final answer
    x = 56,430.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.