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Finding the Third Proportional to 10,507 and 22,404

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Solution

The third proportional to 10,507 and 22,404 is: 47,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507 : 22,404 = 22,404 : x
  2. Step 2: Convert to fraction form
    10,507/22,404 = 22,404/x
  3. Step 3: Cross multiply
    10,507x = 22,404 × 22,404
  4. Step 4: Simplify right side
    10,507x = 501,939,216
  5. Step 5: Solve for x
    x = 501,939,216/10,507
  6. Step 6: Final answer
    x = 47,771.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.