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Finding the Third Proportional to 48,468.75 and 69,809.75

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Solution

The third proportional to 48,468.75 and 69,809.75 is: 100,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,468.75 : 69,809.75 = 69,809.75 : x
  2. Step 2: Convert to fraction form
    48,468.75/69,809.75 = 69,809.75/x
  3. Step 3: Cross multiply
    48,468.75x = 69,809.75 × 69,809.75
  4. Step 4: Simplify right side
    48,468.75x = 4,873,401,195.06
  5. Step 5: Solve for x
    x = 4,873,401,195.06/48,468.75
  6. Step 6: Final answer
    x = 100,547.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.