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Finding the Third Proportional to 20,184.19 and 37,315.69

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Solution

The third proportional to 20,184.19 and 37,315.69 is: 68,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.19 : 37,315.69 = 37,315.69 : x
  2. Step 2: Convert to fraction form
    20,184.19/37,315.69 = 37,315.69/x
  3. Step 3: Cross multiply
    20,184.19x = 37,315.69 × 37,315.69
  4. Step 4: Simplify right side
    20,184.19x = 1,392,460,533.60
  5. Step 5: Solve for x
    x = 1,392,460,533.60/20,184.19
  6. Step 6: Final answer
    x = 68,987.69

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.