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Finding the Third Proportional to 18,506 and 40,702

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Solution

The third proportional to 18,506 and 40,702 is: 89,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506 : 40,702 = 40,702 : x
  2. Step 2: Convert to fraction form
    18,506/40,702 = 40,702/x
  3. Step 3: Cross multiply
    18,506x = 40,702 × 40,702
  4. Step 4: Simplify right side
    18,506x = 1,656,652,804
  5. Step 5: Solve for x
    x = 1,656,652,804/18,506
  6. Step 6: Final answer
    x = 89,519.77

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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.