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Finding the Third Proportional to 8,040 and 16,509

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Solution

The third proportional to 8,040 and 16,509 is: 33,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040 : 16,509 = 16,509 : x
  2. Step 2: Convert to fraction form
    8,040/16,509 = 16,509/x
  3. Step 3: Cross multiply
    8,040x = 16,509 × 16,509
  4. Step 4: Simplify right side
    8,040x = 272,547,081
  5. Step 5: Solve for x
    x = 272,547,081/8,040
  6. Step 6: Final answer
    x = 33,898.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.