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Finding the Third Proportional to 30,037 and 47,117

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Solution

The third proportional to 30,037 and 47,117 is: 73,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,037 : 47,117 = 47,117 : x
  2. Step 2: Convert to fraction form
    30,037/47,117 = 47,117/x
  3. Step 3: Cross multiply
    30,037x = 47,117 × 47,117
  4. Step 4: Simplify right side
    30,037x = 2,220,011,689
  5. Step 5: Solve for x
    x = 2,220,011,689/30,037
  6. Step 6: Final answer
    x = 73,909.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.