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Finding the Third Proportional to 38,648.39 and 56,588.63

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Solution

The third proportional to 38,648.39 and 56,588.63 is: 82,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648.39 : 56,588.63 = 56,588.63 : x
  2. Step 2: Convert to fraction form
    38,648.39/56,588.63 = 56,588.63/x
  3. Step 3: Cross multiply
    38,648.39x = 56,588.63 × 56,588.63
  4. Step 4: Simplify right side
    38,648.39x = 3,202,272,479.39
  5. Step 5: Solve for x
    x = 3,202,272,479.39/38,648.39
  6. Step 6: Final answer
    x = 82,856.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.