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Finding the Third Proportional to 10,421 and 22,504

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Solution

The third proportional to 10,421 and 22,504 is: 48,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421 : 22,504 = 22,504 : x
  2. Step 2: Convert to fraction form
    10,421/22,504 = 22,504/x
  3. Step 3: Cross multiply
    10,421x = 22,504 × 22,504
  4. Step 4: Simplify right side
    10,421x = 506,430,016
  5. Step 5: Solve for x
    x = 506,430,016/10,421
  6. Step 6: Final answer
    x = 48,597.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.