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Finding the Third Proportional to 17,565 and 26,347.88

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Solution

The third proportional to 17,565 and 26,347.88 is: 39,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565 : 26,347.88 = 26,347.88 : x
  2. Step 2: Convert to fraction form
    17,565/26,347.88 = 26,347.88/x
  3. Step 3: Cross multiply
    17,565x = 26,347.88 × 26,347.88
  4. Step 4: Simplify right side
    17,565x = 694,210,517.02
  5. Step 5: Solve for x
    x = 694,210,517.02/17,565
  6. Step 6: Final answer
    x = 39,522.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.