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Finding the Third Proportional to 4,701.38 and 10,012.50

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Solution

The third proportional to 4,701.38 and 10,012.50 is: 21,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.38 : 10,012.50 = 10,012.50 : x
  2. Step 2: Convert to fraction form
    4,701.38/10,012.50 = 10,012.50/x
  3. Step 3: Cross multiply
    4,701.38x = 10,012.50 × 10,012.50
  4. Step 4: Simplify right side
    4,701.38x = 100,250,156.25
  5. Step 5: Solve for x
    x = 100,250,156.25/4,701.38
  6. Step 6: Final answer
    x = 21,323.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.