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Finding the Third Proportional to 29,286 and 45,430

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Solution

The third proportional to 29,286 and 45,430 is: 70,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286 : 45,430 = 45,430 : x
  2. Step 2: Convert to fraction form
    29,286/45,430 = 45,430/x
  3. Step 3: Cross multiply
    29,286x = 45,430 × 45,430
  4. Step 4: Simplify right side
    29,286x = 2,063,884,900
  5. Step 5: Solve for x
    x = 2,063,884,900/29,286
  6. Step 6: Final answer
    x = 70,473.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.