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Finding the Third Proportional to 10,130.50 and 22,034.13

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Solution

The third proportional to 10,130.50 and 22,034.13 is: 47,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.50 : 22,034.13 = 22,034.13 : x
  2. Step 2: Convert to fraction form
    10,130.50/22,034.13 = 22,034.13/x
  3. Step 3: Cross multiply
    10,130.50x = 22,034.13 × 22,034.13
  4. Step 4: Simplify right side
    10,130.50x = 485,502,664.52
  5. Step 5: Solve for x
    x = 485,502,664.52/10,130.50
  6. Step 6: Final answer
    x = 47,924.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.