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Finding the Third Proportional to 40,090 and 62,318

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Solution

The third proportional to 40,090 and 62,318 is: 96,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,090 : 62,318 = 62,318 : x
  2. Step 2: Convert to fraction form
    40,090/62,318 = 62,318/x
  3. Step 3: Cross multiply
    40,090x = 62,318 × 62,318
  4. Step 4: Simplify right side
    40,090x = 3,883,533,124
  5. Step 5: Solve for x
    x = 3,883,533,124/40,090
  6. Step 6: Final answer
    x = 96,870.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.