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Finding the Third Proportional to 9,858 and 21,498

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Solution

The third proportional to 9,858 and 21,498 is: 46,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858 : 21,498 = 21,498 : x
  2. Step 2: Convert to fraction form
    9,858/21,498 = 21,498/x
  3. Step 3: Cross multiply
    9,858x = 21,498 × 21,498
  4. Step 4: Simplify right side
    9,858x = 462,164,004
  5. Step 5: Solve for x
    x = 462,164,004/9,858
  6. Step 6: Final answer
    x = 46,882.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.