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Finding the Third Proportional to 23,099 and 34,597

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Solution

The third proportional to 23,099 and 34,597 is: 51,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,099 : 34,597 = 34,597 : x
  2. Step 2: Convert to fraction form
    23,099/34,597 = 34,597/x
  3. Step 3: Cross multiply
    23,099x = 34,597 × 34,597
  4. Step 4: Simplify right side
    23,099x = 1,196,952,409
  5. Step 5: Solve for x
    x = 1,196,952,409/23,099
  6. Step 6: Final answer
    x = 51,818.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.