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Finding the Third Proportional to 38,864.63 and 83,931.75

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Solution

The third proportional to 38,864.63 and 83,931.75 is: 181,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,864.63 : 83,931.75 = 83,931.75 : x
  2. Step 2: Convert to fraction form
    38,864.63/83,931.75 = 83,931.75/x
  3. Step 3: Cross multiply
    38,864.63x = 83,931.75 × 83,931.75
  4. Step 4: Simplify right side
    38,864.63x = 7,044,538,658.06
  5. Step 5: Solve for x
    x = 7,044,538,658.06/38,864.63
  6. Step 6: Final answer
    x = 181,258.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.