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Finding the Third Proportional to 18,639 and 27,973.13

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Solution

The third proportional to 18,639 and 27,973.13 is: 41,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,639 : 27,973.13 = 27,973.13 : x
  2. Step 2: Convert to fraction form
    18,639/27,973.13 = 27,973.13/x
  3. Step 3: Cross multiply
    18,639x = 27,973.13 × 27,973.13
  4. Step 4: Simplify right side
    18,639x = 782,495,722.27
  5. Step 5: Solve for x
    x = 782,495,722.27/18,639
  6. Step 6: Final answer
    x = 41,981.64

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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.