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Finding the Third Proportional to 6,346 and 9,915

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Solution

The third proportional to 6,346 and 9,915 is: 15,491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346 : 9,915 = 9,915 : x
  2. Step 2: Convert to fraction form
    6,346/9,915 = 9,915/x
  3. Step 3: Cross multiply
    6,346x = 9,915 × 9,915
  4. Step 4: Simplify right side
    6,346x = 98,307,225
  5. Step 5: Solve for x
    x = 98,307,225/6,346
  6. Step 6: Final answer
    x = 15,491.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.