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Finding the Third Proportional to 21,232.13 and 29,678.06

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Solution

The third proportional to 21,232.13 and 29,678.06 is: 41,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.13 : 29,678.06 = 29,678.06 : x
  2. Step 2: Convert to fraction form
    21,232.13/29,678.06 = 29,678.06/x
  3. Step 3: Cross multiply
    21,232.13x = 29,678.06 × 29,678.06
  4. Step 4: Simplify right side
    21,232.13x = 880,787,393.75
  5. Step 5: Solve for x
    x = 880,787,393.75/21,232.13
  6. Step 6: Final answer
    x = 41,483.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.