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Finding the Third Proportional to 6,516 and 9,557

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Solution

The third proportional to 6,516 and 9,557 is: 14,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516 : 9,557 = 9,557 : x
  2. Step 2: Convert to fraction form
    6,516/9,557 = 9,557/x
  3. Step 3: Cross multiply
    6,516x = 9,557 × 9,557
  4. Step 4: Simplify right side
    6,516x = 91,336,249
  5. Step 5: Solve for x
    x = 91,336,249/6,516
  6. Step 6: Final answer
    x = 14,017.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.