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Finding the Third Proportional to 51,988.75 and 72,435.75

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Solution

The third proportional to 51,988.75 and 72,435.75 is: 100,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988.75 : 72,435.75 = 72,435.75 : x
  2. Step 2: Convert to fraction form
    51,988.75/72,435.75 = 72,435.75/x
  3. Step 3: Cross multiply
    51,988.75x = 72,435.75 × 72,435.75
  4. Step 4: Simplify right side
    51,988.75x = 5,246,937,878.06
  5. Step 5: Solve for x
    x = 5,246,937,878.06/51,988.75
  6. Step 6: Final answer
    x = 100,924.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.