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Finding the Third Proportional to 29,228 and 45,205

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Solution

The third proportional to 29,228 and 45,205 is: 69,915.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,228 : 45,205 = 45,205 : x
  2. Step 2: Convert to fraction form
    29,228/45,205 = 45,205/x
  3. Step 3: Cross multiply
    29,228x = 45,205 × 45,205
  4. Step 4: Simplify right side
    29,228x = 2,043,492,025
  5. Step 5: Solve for x
    x = 2,043,492,025/29,228
  6. Step 6: Final answer
    x = 69,915.56

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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.