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Finding the Third Proportional to 4,506 and 7,986

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Solution

The third proportional to 4,506 and 7,986 is: 14,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506 : 7,986 = 7,986 : x
  2. Step 2: Convert to fraction form
    4,506/7,986 = 7,986/x
  3. Step 3: Cross multiply
    4,506x = 7,986 × 7,986
  4. Step 4: Simplify right side
    4,506x = 63,776,196
  5. Step 5: Solve for x
    x = 63,776,196/4,506
  6. Step 6: Final answer
    x = 14,153.62

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.