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Finding the Third Proportional to 29,604 and 45,286

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Solution

The third proportional to 29,604 and 45,286 is: 69,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,604 : 45,286 = 45,286 : x
  2. Step 2: Convert to fraction form
    29,604/45,286 = 45,286/x
  3. Step 3: Cross multiply
    29,604x = 45,286 × 45,286
  4. Step 4: Simplify right side
    29,604x = 2,050,821,796
  5. Step 5: Solve for x
    x = 2,050,821,796/29,604
  6. Step 6: Final answer
    x = 69,275.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.