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Finding the Third Proportional to 38,537.86 and 84,060.70

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Solution

The third proportional to 38,537.86 and 84,060.70 is: 183,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537.86 : 84,060.70 = 84,060.70 : x
  2. Step 2: Convert to fraction form
    38,537.86/84,060.70 = 84,060.70/x
  3. Step 3: Cross multiply
    38,537.86x = 84,060.70 × 84,060.70
  4. Step 4: Simplify right side
    38,537.86x = 7,066,201,809.87
  5. Step 5: Solve for x
    x = 7,066,201,809.87/38,537.86
  6. Step 6: Final answer
    x = 183,357.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.