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Finding the Third Proportional to 27,408 and 59,887.50

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Solution

The third proportional to 27,408 and 59,887.50 is: 130,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408 : 59,887.50 = 59,887.50 : x
  2. Step 2: Convert to fraction form
    27,408/59,887.50 = 59,887.50/x
  3. Step 3: Cross multiply
    27,408x = 59,887.50 × 59,887.50
  4. Step 4: Simplify right side
    27,408x = 3,586,512,656.25
  5. Step 5: Solve for x
    x = 3,586,512,656.25/27,408
  6. Step 6: Final answer
    x = 130,856.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.