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Finding the Third Proportional to 10,407 and 22,583

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Solution

The third proportional to 10,407 and 22,583 is: 49,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407 : 22,583 = 22,583 : x
  2. Step 2: Convert to fraction form
    10,407/22,583 = 22,583/x
  3. Step 3: Cross multiply
    10,407x = 22,583 × 22,583
  4. Step 4: Simplify right side
    10,407x = 509,991,889
  5. Step 5: Solve for x
    x = 509,991,889/10,407
  6. Step 6: Final answer
    x = 49,004.70

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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.