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Finding the Third Proportional to 17,324 and 22,526

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Solution

The third proportional to 17,324 and 22,526 is: 29,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324 : 22,526 = 22,526 : x
  2. Step 2: Convert to fraction form
    17,324/22,526 = 22,526/x
  3. Step 3: Cross multiply
    17,324x = 22,526 × 22,526
  4. Step 4: Simplify right side
    17,324x = 507,420,676
  5. Step 5: Solve for x
    x = 507,420,676/17,324
  6. Step 6: Final answer
    x = 29,290.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.