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Finding the Third Proportional to 40,983 and 88,437

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Solution

The third proportional to 40,983 and 88,437 is: 190,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,983 : 88,437 = 88,437 : x
  2. Step 2: Convert to fraction form
    40,983/88,437 = 88,437/x
  3. Step 3: Cross multiply
    40,983x = 88,437 × 88,437
  4. Step 4: Simplify right side
    40,983x = 7,821,102,969
  5. Step 5: Solve for x
    x = 7,821,102,969/40,983
  6. Step 6: Final answer
    x = 190,837.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.