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Finding the Third Proportional to 33,052 and 43,746

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Solution

The third proportional to 33,052 and 43,746 is: 57,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,052 : 43,746 = 43,746 : x
  2. Step 2: Convert to fraction form
    33,052/43,746 = 43,746/x
  3. Step 3: Cross multiply
    33,052x = 43,746 × 43,746
  4. Step 4: Simplify right side
    33,052x = 1,913,712,516
  5. Step 5: Solve for x
    x = 1,913,712,516/33,052
  6. Step 6: Final answer
    x = 57,900.05

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.