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Finding the Third Proportional to 5,275 and 10,701.50

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Solution

The third proportional to 5,275 and 10,701.50 is: 21,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275 : 10,701.50 = 10,701.50 : x
  2. Step 2: Convert to fraction form
    5,275/10,701.50 = 10,701.50/x
  3. Step 3: Cross multiply
    5,275x = 10,701.50 × 10,701.50
  4. Step 4: Simplify right side
    5,275x = 114,522,102.25
  5. Step 5: Solve for x
    x = 114,522,102.25/5,275
  6. Step 6: Final answer
    x = 21,710.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.