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Finding the Third Proportional to 3,106.13 and 4,897.13

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Solution

The third proportional to 3,106.13 and 4,897.13 is: 7,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.13 : 4,897.13 = 4,897.13 : x
  2. Step 2: Convert to fraction form
    3,106.13/4,897.13 = 4,897.13/x
  3. Step 3: Cross multiply
    3,106.13x = 4,897.13 × 4,897.13
  4. Step 4: Simplify right side
    3,106.13x = 23,981,833.27
  5. Step 5: Solve for x
    x = 23,981,833.27/3,106.13
  6. Step 6: Final answer
    x = 7,720.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.