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Finding the Third Proportional to 30,587 and 47,029

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Solution

The third proportional to 30,587 and 47,029 is: 72,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,587 : 47,029 = 47,029 : x
  2. Step 2: Convert to fraction form
    30,587/47,029 = 47,029/x
  3. Step 3: Cross multiply
    30,587x = 47,029 × 47,029
  4. Step 4: Simplify right side
    30,587x = 2,211,726,841
  5. Step 5: Solve for x
    x = 2,211,726,841/30,587
  6. Step 6: Final answer
    x = 72,309.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.