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Finding the Third Proportional to 11,140 and 24,035

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Solution

The third proportional to 11,140 and 24,035 is: 51,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140 : 24,035 = 24,035 : x
  2. Step 2: Convert to fraction form
    11,140/24,035 = 24,035/x
  3. Step 3: Cross multiply
    11,140x = 24,035 × 24,035
  4. Step 4: Simplify right side
    11,140x = 577,681,225
  5. Step 5: Solve for x
    x = 577,681,225/11,140
  6. Step 6: Final answer
    x = 51,856.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.