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Finding the Third Proportional to 5,840 and 9,037

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Solution

The third proportional to 5,840 and 9,037 is: 13,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 9,037 = 9,037 : x
  2. Step 2: Convert to fraction form
    5,840/9,037 = 9,037/x
  3. Step 3: Cross multiply
    5,840x = 9,037 × 9,037
  4. Step 4: Simplify right side
    5,840x = 81,667,369
  5. Step 5: Solve for x
    x = 81,667,369/5,840
  6. Step 6: Final answer
    x = 13,984.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.