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Finding the Third Proportional to 27,712.13 and 30,142.13

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Solution

The third proportional to 27,712.13 and 30,142.13 is: 32,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.13 : 30,142.13 = 30,142.13 : x
  2. Step 2: Convert to fraction form
    27,712.13/30,142.13 = 30,142.13/x
  3. Step 3: Cross multiply
    27,712.13x = 30,142.13 × 30,142.13
  4. Step 4: Simplify right side
    27,712.13x = 908,547,699.52
  5. Step 5: Solve for x
    x = 908,547,699.52/27,712.13
  6. Step 6: Final answer
    x = 32,785.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.