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Finding the Third Proportional to 19,810 and 26,912

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Solution

The third proportional to 19,810 and 26,912 is: 36,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810 : 26,912 = 26,912 : x
  2. Step 2: Convert to fraction form
    19,810/26,912 = 26,912/x
  3. Step 3: Cross multiply
    19,810x = 26,912 × 26,912
  4. Step 4: Simplify right side
    19,810x = 724,255,744
  5. Step 5: Solve for x
    x = 724,255,744/19,810
  6. Step 6: Final answer
    x = 36,560.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.