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Finding the Third Proportional to 17,532.56 and 27,784.69

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Solution

The third proportional to 17,532.56 and 27,784.69 is: 44,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532.56 : 27,784.69 = 27,784.69 : x
  2. Step 2: Convert to fraction form
    17,532.56/27,784.69 = 27,784.69/x
  3. Step 3: Cross multiply
    17,532.56x = 27,784.69 × 27,784.69
  4. Step 4: Simplify right side
    17,532.56x = 771,988,859.47
  5. Step 5: Solve for x
    x = 771,988,859.47/17,532.56
  6. Step 6: Final answer
    x = 44,031.72

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.