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Finding the Third Proportional to 29,321 and 45,415

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Solution

The third proportional to 29,321 and 45,415 is: 70,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,321 : 45,415 = 45,415 : x
  2. Step 2: Convert to fraction form
    29,321/45,415 = 45,415/x
  3. Step 3: Cross multiply
    29,321x = 45,415 × 45,415
  4. Step 4: Simplify right side
    29,321x = 2,062,522,225
  5. Step 5: Solve for x
    x = 2,062,522,225/29,321
  6. Step 6: Final answer
    x = 70,342.83

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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.