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Finding the Third Proportional to 19,800 and 26,010

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Solution

The third proportional to 19,800 and 26,010 is: 34,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800 : 26,010 = 26,010 : x
  2. Step 2: Convert to fraction form
    19,800/26,010 = 26,010/x
  3. Step 3: Cross multiply
    19,800x = 26,010 × 26,010
  4. Step 4: Simplify right side
    19,800x = 676,520,100
  5. Step 5: Solve for x
    x = 676,520,100/19,800
  6. Step 6: Final answer
    x = 34,167.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.