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Finding the Third Proportional to 40,137.75 and 61,718.06

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Solution

The third proportional to 40,137.75 and 61,718.06 is: 94,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,137.75 : 61,718.06 = 61,718.06 : x
  2. Step 2: Convert to fraction form
    40,137.75/61,718.06 = 61,718.06/x
  3. Step 3: Cross multiply
    40,137.75x = 61,718.06 × 61,718.06
  4. Step 4: Simplify right side
    40,137.75x = 3,809,119,238.75
  5. Step 5: Solve for x
    x = 3,809,119,238.75/40,137.75
  6. Step 6: Final answer
    x = 94,901.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.