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Finding the Third Proportional to 29,224 and 45,236

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Solution

The third proportional to 29,224 and 45,236 is: 70,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,224 : 45,236 = 45,236 : x
  2. Step 2: Convert to fraction form
    29,224/45,236 = 45,236/x
  3. Step 3: Cross multiply
    29,224x = 45,236 × 45,236
  4. Step 4: Simplify right side
    29,224x = 2,046,295,696
  5. Step 5: Solve for x
    x = 2,046,295,696/29,224
  6. Step 6: Final answer
    x = 70,021.07

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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.