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Finding the Third Proportional to 32,703.75 and 51,870.38

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Solution

The third proportional to 32,703.75 and 51,870.38 is: 82,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,703.75 : 51,870.38 = 51,870.38 : x
  2. Step 2: Convert to fraction form
    32,703.75/51,870.38 = 51,870.38/x
  3. Step 3: Cross multiply
    32,703.75x = 51,870.38 × 51,870.38
  4. Step 4: Simplify right side
    32,703.75x = 2,690,535,802.64
  5. Step 5: Solve for x
    x = 2,690,535,802.64/32,703.75
  6. Step 6: Final answer
    x = 82,269.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.