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Finding the Third Proportional to 18,637 and 27,973.50

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Solution

The third proportional to 18,637 and 27,973.50 is: 41,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,637 : 27,973.50 = 27,973.50 : x
  2. Step 2: Convert to fraction form
    18,637/27,973.50 = 27,973.50/x
  3. Step 3: Cross multiply
    18,637x = 27,973.50 × 27,973.50
  4. Step 4: Simplify right side
    18,637x = 782,516,702.25
  5. Step 5: Solve for x
    x = 782,516,702.25/18,637
  6. Step 6: Final answer
    x = 41,987.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.