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Finding the Third Proportional to 4,358.75 and 10,506.50

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Solution

The third proportional to 4,358.75 and 10,506.50 is: 25,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.75 : 10,506.50 = 10,506.50 : x
  2. Step 2: Convert to fraction form
    4,358.75/10,506.50 = 10,506.50/x
  3. Step 3: Cross multiply
    4,358.75x = 10,506.50 × 10,506.50
  4. Step 4: Simplify right side
    4,358.75x = 110,386,542.25
  5. Step 5: Solve for x
    x = 110,386,542.25/4,358.75
  6. Step 6: Final answer
    x = 25,325.27

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.