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Finding the Third Proportional to 5,840 and 13,484

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Solution

The third proportional to 5,840 and 13,484 is: 31,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 13,484 = 13,484 : x
  2. Step 2: Convert to fraction form
    5,840/13,484 = 13,484/x
  3. Step 3: Cross multiply
    5,840x = 13,484 × 13,484
  4. Step 4: Simplify right side
    5,840x = 181,818,256
  5. Step 5: Solve for x
    x = 181,818,256/5,840
  6. Step 6: Final answer
    x = 31,133.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.