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Finding the Third Proportional to 35,402.06 and 42,813.56

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Solution

The third proportional to 35,402.06 and 42,813.56 is: 51,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,402.06 : 42,813.56 = 42,813.56 : x
  2. Step 2: Convert to fraction form
    35,402.06/42,813.56 = 42,813.56/x
  3. Step 3: Cross multiply
    35,402.06x = 42,813.56 × 42,813.56
  4. Step 4: Simplify right side
    35,402.06x = 1,833,001,133.94
  5. Step 5: Solve for x
    x = 1,833,001,133.94/35,402.06
  6. Step 6: Final answer
    x = 51,776.68

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.