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Finding the Third Proportional to 23,070.13 and 50,142.13

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Solution

The third proportional to 23,070.13 and 50,142.13 is: 108,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.13 : 50,142.13 = 50,142.13 : x
  2. Step 2: Convert to fraction form
    23,070.13/50,142.13 = 50,142.13/x
  3. Step 3: Cross multiply
    23,070.13x = 50,142.13 × 50,142.13
  4. Step 4: Simplify right side
    23,070.13x = 2,514,232,699.52
  5. Step 5: Solve for x
    x = 2,514,232,699.52/23,070.13
  6. Step 6: Final answer
    x = 108,982.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.