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Finding the Third Proportional to 10,062 and 23,293.13

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Solution

The third proportional to 10,062 and 23,293.13 is: 53,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062 : 23,293.13 = 23,293.13 : x
  2. Step 2: Convert to fraction form
    10,062/23,293.13 = 23,293.13/x
  3. Step 3: Cross multiply
    10,062x = 23,293.13 × 23,293.13
  4. Step 4: Simplify right side
    10,062x = 542,569,672.27
  5. Step 5: Solve for x
    x = 542,569,672.27/10,062
  6. Step 6: Final answer
    x = 53,922.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.