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Finding the Third Proportional to 42,993 and 65,411

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Solution

The third proportional to 42,993 and 65,411 is: 99,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,993 : 65,411 = 65,411 : x
  2. Step 2: Convert to fraction form
    42,993/65,411 = 65,411/x
  3. Step 3: Cross multiply
    42,993x = 65,411 × 65,411
  4. Step 4: Simplify right side
    42,993x = 4,278,598,921
  5. Step 5: Solve for x
    x = 4,278,598,921/42,993
  6. Step 6: Final answer
    x = 99,518.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.