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Finding the Third Proportional to 23,040 and 49,725

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Solution

The third proportional to 23,040 and 49,725 is: 107,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,040 : 49,725 = 49,725 : x
  2. Step 2: Convert to fraction form
    23,040/49,725 = 49,725/x
  3. Step 3: Cross multiply
    23,040x = 49,725 × 49,725
  4. Step 4: Simplify right side
    23,040x = 2,472,575,625
  5. Step 5: Solve for x
    x = 2,472,575,625/23,040
  6. Step 6: Final answer
    x = 107,316.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.