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Finding the Third Proportional to 18,597 and 26,013

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Solution

The third proportional to 18,597 and 26,013 is: 36,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,597 : 26,013 = 26,013 : x
  2. Step 2: Convert to fraction form
    18,597/26,013 = 26,013/x
  3. Step 3: Cross multiply
    18,597x = 26,013 × 26,013
  4. Step 4: Simplify right side
    18,597x = 676,676,169
  5. Step 5: Solve for x
    x = 676,676,169/18,597
  6. Step 6: Final answer
    x = 36,386.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.