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Finding the Third Proportional to 5,840 and 9,309

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Solution

The third proportional to 5,840 and 9,309 is: 14,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 9,309 = 9,309 : x
  2. Step 2: Convert to fraction form
    5,840/9,309 = 9,309/x
  3. Step 3: Cross multiply
    5,840x = 9,309 × 9,309
  4. Step 4: Simplify right side
    5,840x = 86,657,481
  5. Step 5: Solve for x
    x = 86,657,481/5,840
  6. Step 6: Final answer
    x = 14,838.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.