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Finding the Third Proportional to 22,776.19 and 37,923.19

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Solution

The third proportional to 22,776.19 and 37,923.19 is: 63,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.19 : 37,923.19 = 37,923.19 : x
  2. Step 2: Convert to fraction form
    22,776.19/37,923.19 = 37,923.19/x
  3. Step 3: Cross multiply
    22,776.19x = 37,923.19 × 37,923.19
  4. Step 4: Simplify right side
    22,776.19x = 1,438,168,150.16
  5. Step 5: Solve for x
    x = 1,438,168,150.16/22,776.19
  6. Step 6: Final answer
    x = 63,143.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.