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Finding the Third Proportional to 22,977.84 and 36,585.84

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Solution

The third proportional to 22,977.84 and 36,585.84 is: 58,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.84 : 36,585.84 = 36,585.84 : x
  2. Step 2: Convert to fraction form
    22,977.84/36,585.84 = 36,585.84/x
  3. Step 3: Cross multiply
    22,977.84x = 36,585.84 × 36,585.84
  4. Step 4: Simplify right side
    22,977.84x = 1,338,523,962.90
  5. Step 5: Solve for x
    x = 1,338,523,962.90/22,977.84
  6. Step 6: Final answer
    x = 58,252.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.