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Finding the Third Proportional to 38,330.63 and 53,712.75

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Solution

The third proportional to 38,330.63 and 53,712.75 is: 75,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,330.63 : 53,712.75 = 53,712.75 : x
  2. Step 2: Convert to fraction form
    38,330.63/53,712.75 = 53,712.75/x
  3. Step 3: Cross multiply
    38,330.63x = 53,712.75 × 53,712.75
  4. Step 4: Simplify right side
    38,330.63x = 2,885,059,512.56
  5. Step 5: Solve for x
    x = 2,885,059,512.56/38,330.63
  6. Step 6: Final answer
    x = 75,267.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.