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Finding the Third Proportional to 45,284 and 62,570

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Solution

The third proportional to 45,284 and 62,570 is: 86,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284 : 62,570 = 62,570 : x
  2. Step 2: Convert to fraction form
    45,284/62,570 = 62,570/x
  3. Step 3: Cross multiply
    45,284x = 62,570 × 62,570
  4. Step 4: Simplify right side
    45,284x = 3,915,004,900
  5. Step 5: Solve for x
    x = 3,915,004,900/45,284
  6. Step 6: Final answer
    x = 86,454.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.