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Finding the Third Proportional to 32,945.96 and 51,264.22

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Solution

The third proportional to 32,945.96 and 51,264.22 is: 79,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,945.96 : 51,264.22 = 51,264.22 : x
  2. Step 2: Convert to fraction form
    32,945.96/51,264.22 = 51,264.22/x
  3. Step 3: Cross multiply
    32,945.96x = 51,264.22 × 51,264.22
  4. Step 4: Simplify right side
    32,945.96x = 2,628,020,224.17
  5. Step 5: Solve for x
    x = 2,628,020,224.17/32,945.96
  6. Step 6: Final answer
    x = 79,767.60

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.