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Finding the Third Proportional to 29,580 and 39,860

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Solution

The third proportional to 29,580 and 39,860 is: 53,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,580 : 39,860 = 39,860 : x
  2. Step 2: Convert to fraction form
    29,580/39,860 = 39,860/x
  3. Step 3: Cross multiply
    29,580x = 39,860 × 39,860
  4. Step 4: Simplify right side
    29,580x = 1,588,819,600
  5. Step 5: Solve for x
    x = 1,588,819,600/29,580
  6. Step 6: Final answer
    x = 53,712.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.