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Finding the Third Proportional to 38,345 and 83,437

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Solution

The third proportional to 38,345 and 83,437 is: 181,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,345 : 83,437 = 83,437 : x
  2. Step 2: Convert to fraction form
    38,345/83,437 = 83,437/x
  3. Step 3: Cross multiply
    38,345x = 83,437 × 83,437
  4. Step 4: Simplify right side
    38,345x = 6,961,732,969
  5. Step 5: Solve for x
    x = 6,961,732,969/38,345
  6. Step 6: Final answer
    x = 181,555.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.