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Finding the Third Proportional to 20,526 and 45,084

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Solution

The third proportional to 20,526 and 45,084 is: 99,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,526 : 45,084 = 45,084 : x
  2. Step 2: Convert to fraction form
    20,526/45,084 = 45,084/x
  3. Step 3: Cross multiply
    20,526x = 45,084 × 45,084
  4. Step 4: Simplify right side
    20,526x = 2,032,567,056
  5. Step 5: Solve for x
    x = 2,032,567,056/20,526
  6. Step 6: Final answer
    x = 99,024.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.