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Finding the Third Proportional to 23,429 and 51,658

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Solution

The third proportional to 23,429 and 51,658 is: 113,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,429 : 51,658 = 51,658 : x
  2. Step 2: Convert to fraction form
    23,429/51,658 = 51,658/x
  3. Step 3: Cross multiply
    23,429x = 51,658 × 51,658
  4. Step 4: Simplify right side
    23,429x = 2,668,548,964
  5. Step 5: Solve for x
    x = 2,668,548,964/23,429
  6. Step 6: Final answer
    x = 113,899.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.