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Finding the Third Proportional to 27,763.59 and 39,568.64

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Solution

The third proportional to 27,763.59 and 39,568.64 is: 56,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,763.59 : 39,568.64 = 39,568.64 : x
  2. Step 2: Convert to fraction form
    27,763.59/39,568.64 = 39,568.64/x
  3. Step 3: Cross multiply
    27,763.59x = 39,568.64 × 39,568.64
  4. Step 4: Simplify right side
    27,763.59x = 1,565,677,320.91
  5. Step 5: Solve for x
    x = 1,565,677,320.91/27,763.59
  6. Step 6: Final answer
    x = 56,393.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.