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Finding the Third Proportional to 12,479.81 and 27,146.63

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Solution

The third proportional to 12,479.81 and 27,146.63 is: 59,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,479.81 : 27,146.63 = 27,146.63 : x
  2. Step 2: Convert to fraction form
    12,479.81/27,146.63 = 27,146.63/x
  3. Step 3: Cross multiply
    12,479.81x = 27,146.63 × 27,146.63
  4. Step 4: Simplify right side
    12,479.81x = 736,939,248.89
  5. Step 5: Solve for x
    x = 736,939,248.89/12,479.81
  6. Step 6: Final answer
    x = 59,050.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.