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Finding the Third Proportional to 38,046 and 59,141

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Solution

The third proportional to 38,046 and 59,141 is: 91,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046 : 59,141 = 59,141 : x
  2. Step 2: Convert to fraction form
    38,046/59,141 = 59,141/x
  3. Step 3: Cross multiply
    38,046x = 59,141 × 59,141
  4. Step 4: Simplify right side
    38,046x = 3,497,657,881
  5. Step 5: Solve for x
    x = 3,497,657,881/38,046
  6. Step 6: Final answer
    x = 91,932.34

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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.