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Finding the Third Proportional to 6,535 and 14,371

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Solution

The third proportional to 6,535 and 14,371 is: 31,603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535 : 14,371 = 14,371 : x
  2. Step 2: Convert to fraction form
    6,535/14,371 = 14,371/x
  3. Step 3: Cross multiply
    6,535x = 14,371 × 14,371
  4. Step 4: Simplify right side
    6,535x = 206,525,641
  5. Step 5: Solve for x
    x = 206,525,641/6,535
  6. Step 6: Final answer
    x = 31,603.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.