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Finding the Third Proportional to 40,282 and 46,570

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Solution

The third proportional to 40,282 and 46,570 is: 53,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,282 : 46,570 = 46,570 : x
  2. Step 2: Convert to fraction form
    40,282/46,570 = 46,570/x
  3. Step 3: Cross multiply
    40,282x = 46,570 × 46,570
  4. Step 4: Simplify right side
    40,282x = 2,168,764,900
  5. Step 5: Solve for x
    x = 2,168,764,900/40,282
  6. Step 6: Final answer
    x = 53,839.55

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.