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Finding the Third Proportional to 12,988.83 and 27,920.16

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Solution

The third proportional to 12,988.83 and 27,920.16 is: 60,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,988.83 : 27,920.16 = 27,920.16 : x
  2. Step 2: Convert to fraction form
    12,988.83/27,920.16 = 27,920.16/x
  3. Step 3: Cross multiply
    12,988.83x = 27,920.16 × 27,920.16
  4. Step 4: Simplify right side
    12,988.83x = 779,535,125.02
  5. Step 5: Solve for x
    x = 779,535,125.02/12,988.83
  6. Step 6: Final answer
    x = 60,015.82

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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.