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Finding the Third Proportional to 29,258 and 43,823

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Solution

The third proportional to 29,258 and 43,823 is: 65,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,258 : 43,823 = 43,823 : x
  2. Step 2: Convert to fraction form
    29,258/43,823 = 43,823/x
  3. Step 3: Cross multiply
    29,258x = 43,823 × 43,823
  4. Step 4: Simplify right side
    29,258x = 1,920,455,329
  5. Step 5: Solve for x
    x = 1,920,455,329/29,258
  6. Step 6: Final answer
    x = 65,638.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.