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Finding the Third Proportional to 12,165.19 and 26,205.19

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Solution

The third proportional to 12,165.19 and 26,205.19 is: 56,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 26,205.19 = 26,205.19 : x
  2. Step 2: Convert to fraction form
    12,165.19/26,205.19 = 26,205.19/x
  3. Step 3: Cross multiply
    12,165.19x = 26,205.19 × 26,205.19
  4. Step 4: Simplify right side
    12,165.19x = 686,711,851.91
  5. Step 5: Solve for x
    x = 686,711,851.91/12,165.19
  6. Step 6: Final answer
    x = 56,448.93

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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.