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Finding the Third Proportional to 29,754 and 39,669.75

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Solution

The third proportional to 29,754 and 39,669.75 is: 52,890.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754 : 39,669.75 = 39,669.75 : x
  2. Step 2: Convert to fraction form
    29,754/39,669.75 = 39,669.75/x
  3. Step 3: Cross multiply
    29,754x = 39,669.75 × 39,669.75
  4. Step 4: Simplify right side
    29,754x = 1,573,689,065.06
  5. Step 5: Solve for x
    x = 1,573,689,065.06/29,754
  6. Step 6: Final answer
    x = 52,890.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.