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Finding the Third Proportional to 3,947.48 and 8,637.47

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Solution

The third proportional to 3,947.48 and 8,637.47 is: 18,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.48 : 8,637.47 = 8,637.47 : x
  2. Step 2: Convert to fraction form
    3,947.48/8,637.47 = 8,637.47/x
  3. Step 3: Cross multiply
    3,947.48x = 8,637.47 × 8,637.47
  4. Step 4: Simplify right side
    3,947.48x = 74,605,866.41
  5. Step 5: Solve for x
    x = 74,605,866.41/3,947.48
  6. Step 6: Final answer
    x = 18,899.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.