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Finding the Third Proportional to 29,604 and 64,068

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Solution

The third proportional to 29,604 and 64,068 is: 138,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,604 : 64,068 = 64,068 : x
  2. Step 2: Convert to fraction form
    29,604/64,068 = 64,068/x
  3. Step 3: Cross multiply
    29,604x = 64,068 × 64,068
  4. Step 4: Simplify right side
    29,604x = 4,104,708,624
  5. Step 5: Solve for x
    x = 4,104,708,624/29,604
  6. Step 6: Final answer
    x = 138,653.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.