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Finding the Third Proportional to 29,900 and 64,408

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Solution

The third proportional to 29,900 and 64,408 is: 138,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,900 : 64,408 = 64,408 : x
  2. Step 2: Convert to fraction form
    29,900/64,408 = 64,408/x
  3. Step 3: Cross multiply
    29,900x = 64,408 × 64,408
  4. Step 4: Simplify right side
    29,900x = 4,148,390,464
  5. Step 5: Solve for x
    x = 4,148,390,464/29,900
  6. Step 6: Final answer
    x = 138,742.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.