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Finding the Third Proportional to 5,897.81 and 12,868.88

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Solution

The third proportional to 5,897.81 and 12,868.88 is: 28,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.81 : 12,868.88 = 12,868.88 : x
  2. Step 2: Convert to fraction form
    5,897.81/12,868.88 = 12,868.88/x
  3. Step 3: Cross multiply
    5,897.81x = 12,868.88 × 12,868.88
  4. Step 4: Simplify right side
    5,897.81x = 165,607,943.77
  5. Step 5: Solve for x
    x = 165,607,943.77/5,897.81
  6. Step 6: Final answer
    x = 28,079.55

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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.