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Finding the Third Proportional to 12,066.19 and 26,209.69

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Solution

The third proportional to 12,066.19 and 26,209.69 is: 56,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.19 : 26,209.69 = 26,209.69 : x
  2. Step 2: Convert to fraction form
    12,066.19/26,209.69 = 26,209.69/x
  3. Step 3: Cross multiply
    12,066.19x = 26,209.69 × 26,209.69
  4. Step 4: Simplify right side
    12,066.19x = 686,947,718.85
  5. Step 5: Solve for x
    x = 686,947,718.85/12,066.19
  6. Step 6: Final answer
    x = 56,931.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.