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Finding the Third Proportional to 29,884 and 65,506

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Solution

The third proportional to 29,884 and 65,506 is: 143,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,884 : 65,506 = 65,506 : x
  2. Step 2: Convert to fraction form
    29,884/65,506 = 65,506/x
  3. Step 3: Cross multiply
    29,884x = 65,506 × 65,506
  4. Step 4: Simplify right side
    29,884x = 4,291,036,036
  5. Step 5: Solve for x
    x = 4,291,036,036/29,884
  6. Step 6: Final answer
    x = 143,589.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.