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Finding the Third Proportional to 10,004 and 22,312

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Solution

The third proportional to 10,004 and 22,312 is: 49,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004 : 22,312 = 22,312 : x
  2. Step 2: Convert to fraction form
    10,004/22,312 = 22,312/x
  3. Step 3: Cross multiply
    10,004x = 22,312 × 22,312
  4. Step 4: Simplify right side
    10,004x = 497,825,344
  5. Step 5: Solve for x
    x = 497,825,344/10,004
  6. Step 6: Final answer
    x = 49,762.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.