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Finding the Third Proportional to 20,610 and 23,526

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Solution

The third proportional to 20,610 and 23,526 is: 26,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,610 : 23,526 = 23,526 : x
  2. Step 2: Convert to fraction form
    20,610/23,526 = 23,526/x
  3. Step 3: Cross multiply
    20,610x = 23,526 × 23,526
  4. Step 4: Simplify right side
    20,610x = 553,472,676
  5. Step 5: Solve for x
    x = 553,472,676/20,610
  6. Step 6: Final answer
    x = 26,854.57

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.