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Finding the Third Proportional to 18,703.41 and 45,232.17

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Solution

The third proportional to 18,703.41 and 45,232.17 is: 109,389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,703.41 : 45,232.17 = 45,232.17 : x
  2. Step 2: Convert to fraction form
    18,703.41/45,232.17 = 45,232.17/x
  3. Step 3: Cross multiply
    18,703.41x = 45,232.17 × 45,232.17
  4. Step 4: Simplify right side
    18,703.41x = 2,045,949,372.53
  5. Step 5: Solve for x
    x = 2,045,949,372.53/18,703.41
  6. Step 6: Final answer
    x = 109,389.13

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.