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Finding the Third Proportional to 29,970 and 41,987

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Solution

The third proportional to 29,970 and 41,987 is: 58,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970 : 41,987 = 41,987 : x
  2. Step 2: Convert to fraction form
    29,970/41,987 = 41,987/x
  3. Step 3: Cross multiply
    29,970x = 41,987 × 41,987
  4. Step 4: Simplify right side
    29,970x = 1,762,908,169
  5. Step 5: Solve for x
    x = 1,762,908,169/29,970
  6. Step 6: Final answer
    x = 58,822.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.