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Finding the Third Proportional to 19,761 and 44,216

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Solution

The third proportional to 19,761 and 44,216 is: 98,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761 : 44,216 = 44,216 : x
  2. Step 2: Convert to fraction form
    19,761/44,216 = 44,216/x
  3. Step 3: Cross multiply
    19,761x = 44,216 × 44,216
  4. Step 4: Simplify right side
    19,761x = 1,955,054,656
  5. Step 5: Solve for x
    x = 1,955,054,656/19,761
  6. Step 6: Final answer
    x = 98,935.01

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.