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Finding the Third Proportional to 52,398.84 and 74,072.34

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Solution

The third proportional to 52,398.84 and 74,072.34 is: 104,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,398.84 : 74,072.34 = 74,072.34 : x
  2. Step 2: Convert to fraction form
    52,398.84/74,072.34 = 74,072.34/x
  3. Step 3: Cross multiply
    52,398.84x = 74,072.34 × 74,072.34
  4. Step 4: Simplify right side
    52,398.84x = 5,486,712,108.62
  5. Step 5: Solve for x
    x = 5,486,712,108.62/52,398.84
  6. Step 6: Final answer
    x = 104,710.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.