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Finding the Third Proportional to 29,221 and 45,199.50

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Solution

The third proportional to 29,221 and 45,199.50 is: 69,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,221 : 45,199.50 = 45,199.50 : x
  2. Step 2: Convert to fraction form
    29,221/45,199.50 = 45,199.50/x
  3. Step 3: Cross multiply
    29,221x = 45,199.50 × 45,199.50
  4. Step 4: Simplify right side
    29,221x = 2,042,994,800.25
  5. Step 5: Solve for x
    x = 2,042,994,800.25/29,221
  6. Step 6: Final answer
    x = 69,915.29

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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.