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Finding the Third Proportional to 23,817 and 34,987

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Solution

The third proportional to 23,817 and 34,987 is: 51,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817 : 34,987 = 34,987 : x
  2. Step 2: Convert to fraction form
    23,817/34,987 = 34,987/x
  3. Step 3: Cross multiply
    23,817x = 34,987 × 34,987
  4. Step 4: Simplify right side
    23,817x = 1,224,090,169
  5. Step 5: Solve for x
    x = 1,224,090,169/23,817
  6. Step 6: Final answer
    x = 51,395.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.