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Finding the Third Proportional to 10,054 and 22,053

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Solution

The third proportional to 10,054 and 22,053 is: 48,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054 : 22,053 = 22,053 : x
  2. Step 2: Convert to fraction form
    10,054/22,053 = 22,053/x
  3. Step 3: Cross multiply
    10,054x = 22,053 × 22,053
  4. Step 4: Simplify right side
    10,054x = 486,334,809
  5. Step 5: Solve for x
    x = 486,334,809/10,054
  6. Step 6: Final answer
    x = 48,372.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.