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Finding the Third Proportional to 44,145.56 and 56,682.84

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Solution

The third proportional to 44,145.56 and 56,682.84 is: 72,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,145.56 : 56,682.84 = 56,682.84 : x
  2. Step 2: Convert to fraction form
    44,145.56/56,682.84 = 56,682.84/x
  3. Step 3: Cross multiply
    44,145.56x = 56,682.84 × 56,682.84
  4. Step 4: Simplify right side
    44,145.56x = 3,212,944,775.59
  5. Step 5: Solve for x
    x = 3,212,944,775.59/44,145.56
  6. Step 6: Final answer
    x = 72,780.70

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.