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Finding the Third Proportional to 6,509 and 10,355

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Solution

The third proportional to 6,509 and 10,355 is: 16,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509 : 10,355 = 10,355 : x
  2. Step 2: Convert to fraction form
    6,509/10,355 = 10,355/x
  3. Step 3: Cross multiply
    6,509x = 10,355 × 10,355
  4. Step 4: Simplify right side
    6,509x = 107,226,025
  5. Step 5: Solve for x
    x = 107,226,025/6,509
  6. Step 6: Final answer
    x = 16,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.