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Finding the Third Proportional to 38,346.75 and 82,157.63

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Solution

The third proportional to 38,346.75 and 82,157.63 is: 176,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,346.75 : 82,157.63 = 82,157.63 : x
  2. Step 2: Convert to fraction form
    38,346.75/82,157.63 = 82,157.63/x
  3. Step 3: Cross multiply
    38,346.75x = 82,157.63 × 82,157.63
  4. Step 4: Simplify right side
    38,346.75x = 6,749,875,345.64
  5. Step 5: Solve for x
    x = 6,749,875,345.64/38,346.75
  6. Step 6: Final answer
    x = 176,022.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.