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Finding the Third Proportional to 51,050.25 and 74,864.25

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Solution

The third proportional to 51,050.25 and 74,864.25 is: 109,787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,050.25 : 74,864.25 = 74,864.25 : x
  2. Step 2: Convert to fraction form
    51,050.25/74,864.25 = 74,864.25/x
  3. Step 3: Cross multiply
    51,050.25x = 74,864.25 × 74,864.25
  4. Step 4: Simplify right side
    51,050.25x = 5,604,655,928.06
  5. Step 5: Solve for x
    x = 5,604,655,928.06/51,050.25
  6. Step 6: Final answer
    x = 109,787.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.