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Finding the Third Proportional to 19,702 and 45,562

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Solution

The third proportional to 19,702 and 45,562 is: 105,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702 : 45,562 = 45,562 : x
  2. Step 2: Convert to fraction form
    19,702/45,562 = 45,562/x
  3. Step 3: Cross multiply
    19,702x = 45,562 × 45,562
  4. Step 4: Simplify right side
    19,702x = 2,075,895,844
  5. Step 5: Solve for x
    x = 2,075,895,844/19,702
  6. Step 6: Final answer
    x = 105,364.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.