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Finding the Third Proportional to 30,560.41 and 48,627.84

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Solution

The third proportional to 30,560.41 and 48,627.84 is: 77,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,560.41 : 48,627.84 = 48,627.84 : x
  2. Step 2: Convert to fraction form
    30,560.41/48,627.84 = 48,627.84/x
  3. Step 3: Cross multiply
    30,560.41x = 48,627.84 × 48,627.84
  4. Step 4: Simplify right side
    30,560.41x = 2,364,667,187.77
  5. Step 5: Solve for x
    x = 2,364,667,187.77/30,560.41
  6. Step 6: Final answer
    x = 77,376.80

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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.