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Finding the Third Proportional to 22,143.38 and 36,905.63

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Solution

The third proportional to 22,143.38 and 36,905.63 is: 61,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143.38 : 36,905.63 = 36,905.63 : x
  2. Step 2: Convert to fraction form
    22,143.38/36,905.63 = 36,905.63/x
  3. Step 3: Cross multiply
    22,143.38x = 36,905.63 × 36,905.63
  4. Step 4: Simplify right side
    22,143.38x = 1,362,025,156.64
  5. Step 5: Solve for x
    x = 1,362,025,156.64/22,143.38
  6. Step 6: Final answer
    x = 61,509.38

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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.