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Finding the Third Proportional to 29,964 and 65,518

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Solution

The third proportional to 29,964 and 65,518 is: 143,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,964 : 65,518 = 65,518 : x
  2. Step 2: Convert to fraction form
    29,964/65,518 = 65,518/x
  3. Step 3: Cross multiply
    29,964x = 65,518 × 65,518
  4. Step 4: Simplify right side
    29,964x = 4,292,608,324
  5. Step 5: Solve for x
    x = 4,292,608,324/29,964
  6. Step 6: Final answer
    x = 143,258.85

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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.