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Finding the Third Proportional to 30,671.16 and 47,407.78

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Solution

The third proportional to 30,671.16 and 47,407.78 is: 73,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.16 : 47,407.78 = 47,407.78 : x
  2. Step 2: Convert to fraction form
    30,671.16/47,407.78 = 47,407.78/x
  3. Step 3: Cross multiply
    30,671.16x = 47,407.78 × 47,407.78
  4. Step 4: Simplify right side
    30,671.16x = 2,247,497,723.05
  5. Step 5: Solve for x
    x = 2,247,497,723.05/30,671.16
  6. Step 6: Final answer
    x = 73,277.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.