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Finding the Third Proportional to 4,972 and 10,535

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Solution

The third proportional to 4,972 and 10,535 is: 22,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972 : 10,535 = 10,535 : x
  2. Step 2: Convert to fraction form
    4,972/10,535 = 10,535/x
  3. Step 3: Cross multiply
    4,972x = 10,535 × 10,535
  4. Step 4: Simplify right side
    4,972x = 110,986,225
  5. Step 5: Solve for x
    x = 110,986,225/4,972
  6. Step 6: Final answer
    x = 22,322.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.