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Finding the Third Proportional to 26,784.74 and 40,045.96

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Solution

The third proportional to 26,784.74 and 40,045.96 is: 59,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784.74 : 40,045.96 = 40,045.96 : x
  2. Step 2: Convert to fraction form
    26,784.74/40,045.96 = 40,045.96/x
  3. Step 3: Cross multiply
    26,784.74x = 40,045.96 × 40,045.96
  4. Step 4: Simplify right side
    26,784.74x = 1,603,678,674.55
  5. Step 5: Solve for x
    x = 1,603,678,674.55/26,784.74
  6. Step 6: Final answer
    x = 59,872.85

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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.