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Finding the Third Proportional to 19,709 and 26,554

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Solution

The third proportional to 19,709 and 26,554 is: 35,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709 : 26,554 = 26,554 : x
  2. Step 2: Convert to fraction form
    19,709/26,554 = 26,554/x
  3. Step 3: Cross multiply
    19,709x = 26,554 × 26,554
  4. Step 4: Simplify right side
    19,709x = 705,114,916
  5. Step 5: Solve for x
    x = 705,114,916/19,709
  6. Step 6: Final answer
    x = 35,776.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.