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Finding the Third Proportional to 5,034.56 and 10,798.13

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Solution

The third proportional to 5,034.56 and 10,798.13 is: 23,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.56 : 10,798.13 = 10,798.13 : x
  2. Step 2: Convert to fraction form
    5,034.56/10,798.13 = 10,798.13/x
  3. Step 3: Cross multiply
    5,034.56x = 10,798.13 × 10,798.13
  4. Step 4: Simplify right side
    5,034.56x = 116,599,503.52
  5. Step 5: Solve for x
    x = 116,599,503.52/5,034.56
  6. Step 6: Final answer
    x = 23,159.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.