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Finding the Third Proportional to 29,803.13 and 45,008.44

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Solution

The third proportional to 29,803.13 and 45,008.44 is: 67,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,803.13 : 45,008.44 = 45,008.44 : x
  2. Step 2: Convert to fraction form
    29,803.13/45,008.44 = 45,008.44/x
  3. Step 3: Cross multiply
    29,803.13x = 45,008.44 × 45,008.44
  4. Step 4: Simplify right side
    29,803.13x = 2,025,759,446.19
  5. Step 5: Solve for x
    x = 2,025,759,446.19/29,803.13
  6. Step 6: Final answer
    x = 67,971.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.