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Finding the Third Proportional to 29,976 and 65,784

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Solution

The third proportional to 29,976 and 65,784 is: 144,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976 : 65,784 = 65,784 : x
  2. Step 2: Convert to fraction form
    29,976/65,784 = 65,784/x
  3. Step 3: Cross multiply
    29,976x = 65,784 × 65,784
  4. Step 4: Simplify right side
    29,976x = 4,327,534,656
  5. Step 5: Solve for x
    x = 4,327,534,656/29,976
  6. Step 6: Final answer
    x = 144,366.65

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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.