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Finding the Third Proportional to 27,772 and 39,686.25

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Solution

The third proportional to 27,772 and 39,686.25 is: 56,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772 : 39,686.25 = 39,686.25 : x
  2. Step 2: Convert to fraction form
    27,772/39,686.25 = 39,686.25/x
  3. Step 3: Cross multiply
    27,772x = 39,686.25 × 39,686.25
  4. Step 4: Simplify right side
    27,772x = 1,574,998,439.06
  5. Step 5: Solve for x
    x = 1,574,998,439.06/27,772
  6. Step 6: Final answer
    x = 56,711.74

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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.