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Finding the Third Proportional to 14,266.13 and 34,921.13

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Solution

The third proportional to 14,266.13 and 34,921.13 is: 85,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.13 : 34,921.13 = 34,921.13 : x
  2. Step 2: Convert to fraction form
    14,266.13/34,921.13 = 34,921.13/x
  3. Step 3: Cross multiply
    14,266.13x = 34,921.13 × 34,921.13
  4. Step 4: Simplify right side
    14,266.13x = 1,219,484,971.27
  5. Step 5: Solve for x
    x = 1,219,484,971.27/14,266.13
  6. Step 6: Final answer
    x = 85,481.16

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.