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Finding the Third Proportional to 4,948.59 and 11,137.50

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Solution

The third proportional to 4,948.59 and 11,137.50 is: 25,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.59 : 11,137.50 = 11,137.50 : x
  2. Step 2: Convert to fraction form
    4,948.59/11,137.50 = 11,137.50/x
  3. Step 3: Cross multiply
    4,948.59x = 11,137.50 × 11,137.50
  4. Step 4: Simplify right side
    4,948.59x = 124,043,906.25
  5. Step 5: Solve for x
    x = 124,043,906.25/4,948.59
  6. Step 6: Final answer
    x = 25,066.50

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.