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Finding the Third Proportional to 5,024 and 5,840

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Solution

The third proportional to 5,024 and 5,840 is: 6,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024 : 5,840 = 5,840 : x
  2. Step 2: Convert to fraction form
    5,024/5,840 = 5,840/x
  3. Step 3: Cross multiply
    5,024x = 5,840 × 5,840
  4. Step 4: Simplify right side
    5,024x = 34,105,600
  5. Step 5: Solve for x
    x = 34,105,600/5,024
  6. Step 6: Final answer
    x = 6,788.54

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.