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Finding the Third Proportional to 18,562 and 40,708

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Solution

The third proportional to 18,562 and 40,708 is: 89,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562 : 40,708 = 40,708 : x
  2. Step 2: Convert to fraction form
    18,562/40,708 = 40,708/x
  3. Step 3: Cross multiply
    18,562x = 40,708 × 40,708
  4. Step 4: Simplify right side
    18,562x = 1,657,141,264
  5. Step 5: Solve for x
    x = 1,657,141,264/18,562
  6. Step 6: Final answer
    x = 89,276.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.