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Finding the Third Proportional to 6,564 and 9,895

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Solution

The third proportional to 6,564 and 9,895 is: 14,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564 : 9,895 = 9,895 : x
  2. Step 2: Convert to fraction form
    6,564/9,895 = 9,895/x
  3. Step 3: Cross multiply
    6,564x = 9,895 × 9,895
  4. Step 4: Simplify right side
    6,564x = 97,911,025
  5. Step 5: Solve for x
    x = 97,911,025/6,564
  6. Step 6: Final answer
    x = 14,916.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.