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Finding the Third Proportional to 10,388 and 22,504

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Solution

The third proportional to 10,388 and 22,504 is: 48,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388 : 22,504 = 22,504 : x
  2. Step 2: Convert to fraction form
    10,388/22,504 = 22,504/x
  3. Step 3: Cross multiply
    10,388x = 22,504 × 22,504
  4. Step 4: Simplify right side
    10,388x = 506,430,016
  5. Step 5: Solve for x
    x = 506,430,016/10,388
  6. Step 6: Final answer
    x = 48,751.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.