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Finding the Third Proportional to 17,526 and 38,454

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Solution

The third proportional to 17,526 and 38,454 is: 84,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526 : 38,454 = 38,454 : x
  2. Step 2: Convert to fraction form
    17,526/38,454 = 38,454/x
  3. Step 3: Cross multiply
    17,526x = 38,454 × 38,454
  4. Step 4: Simplify right side
    17,526x = 1,478,710,116
  5. Step 5: Solve for x
    x = 1,478,710,116/17,526
  6. Step 6: Final answer
    x = 84,372.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.