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Finding the Third Proportional to 21,843 and 46,298.25

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Solution

The third proportional to 21,843 and 46,298.25 is: 98,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843 : 46,298.25 = 46,298.25 : x
  2. Step 2: Convert to fraction form
    21,843/46,298.25 = 46,298.25/x
  3. Step 3: Cross multiply
    21,843x = 46,298.25 × 46,298.25
  4. Step 4: Simplify right side
    21,843x = 2,143,527,953.06
  5. Step 5: Solve for x
    x = 2,143,527,953.06/21,843
  6. Step 6: Final answer
    x = 98,133.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.