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Finding the Third Proportional to 10,126 and 21,352.25

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Solution

The third proportional to 10,126 and 21,352.25 is: 45,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126 : 21,352.25 = 21,352.25 : x
  2. Step 2: Convert to fraction form
    10,126/21,352.25 = 21,352.25/x
  3. Step 3: Cross multiply
    10,126x = 21,352.25 × 21,352.25
  4. Step 4: Simplify right side
    10,126x = 455,918,580.06
  5. Step 5: Solve for x
    x = 455,918,580.06/10,126
  6. Step 6: Final answer
    x = 45,024.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.