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Finding the Third Proportional to 29,625.33 and 63,402.33

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Solution

The third proportional to 29,625.33 and 63,402.33 is: 135,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,625.33 : 63,402.33 = 63,402.33 : x
  2. Step 2: Convert to fraction form
    29,625.33/63,402.33 = 63,402.33/x
  3. Step 3: Cross multiply
    29,625.33x = 63,402.33 × 63,402.33
  4. Step 4: Simplify right side
    29,625.33x = 4,019,855,211.67
  5. Step 5: Solve for x
    x = 4,019,855,211.67/29,625.33
  6. Step 6: Final answer
    x = 135,689.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.