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Finding the Third Proportional to 17,527.64 and 26,473.71

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Solution

The third proportional to 17,527.64 and 26,473.71 is: 39,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.64 : 26,473.71 = 26,473.71 : x
  2. Step 2: Convert to fraction form
    17,527.64/26,473.71 = 26,473.71/x
  3. Step 3: Cross multiply
    17,527.64x = 26,473.71 × 26,473.71
  4. Step 4: Simplify right side
    17,527.64x = 700,857,370.80
  5. Step 5: Solve for x
    x = 700,857,370.80/17,527.64
  6. Step 6: Final answer
    x = 39,985.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.