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Finding the Third Proportional to 27,983.81 and 60,478.13

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Solution

The third proportional to 27,983.81 and 60,478.13 is: 130,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983.81 : 60,478.13 = 60,478.13 : x
  2. Step 2: Convert to fraction form
    27,983.81/60,478.13 = 60,478.13/x
  3. Step 3: Cross multiply
    27,983.81x = 60,478.13 × 60,478.13
  4. Step 4: Simplify right side
    27,983.81x = 3,657,603,603.52
  5. Step 5: Solve for x
    x = 3,657,603,603.52/27,983.81
  6. Step 6: Final answer
    x = 130,704.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.