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Finding the Third Proportional to 4,116 and 8,507

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Solution

The third proportional to 4,116 and 8,507 is: 17,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 8,507 = 8,507 : x
  2. Step 2: Convert to fraction form
    4,116/8,507 = 8,507/x
  3. Step 3: Cross multiply
    4,116x = 8,507 × 8,507
  4. Step 4: Simplify right side
    4,116x = 72,369,049
  5. Step 5: Solve for x
    x = 72,369,049/4,116
  6. Step 6: Final answer
    x = 17,582.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.