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Finding the Third Proportional to 30,416 and 47,076

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Solution

The third proportional to 30,416 and 47,076 is: 72,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416 : 47,076 = 47,076 : x
  2. Step 2: Convert to fraction form
    30,416/47,076 = 47,076/x
  3. Step 3: Cross multiply
    30,416x = 47,076 × 47,076
  4. Step 4: Simplify right side
    30,416x = 2,216,149,776
  5. Step 5: Solve for x
    x = 2,216,149,776/30,416
  6. Step 6: Final answer
    x = 72,861.32

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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.