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Finding the Third Proportional to 21,864.50 and 46,357

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Solution

The third proportional to 21,864.50 and 46,357 is: 98,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.50 : 46,357 = 46,357 : x
  2. Step 2: Convert to fraction form
    21,864.50/46,357 = 46,357/x
  3. Step 3: Cross multiply
    21,864.50x = 46,357 × 46,357
  4. Step 4: Simplify right side
    21,864.50x = 2,148,971,449
  5. Step 5: Solve for x
    x = 2,148,971,449/21,864.50
  6. Step 6: Final answer
    x = 98,285.87

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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.