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Finding the Third Proportional to 38,945.95 and 84,726.14

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Solution

The third proportional to 38,945.95 and 84,726.14 is: 184,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,945.95 : 84,726.14 = 84,726.14 : x
  2. Step 2: Convert to fraction form
    38,945.95/84,726.14 = 84,726.14/x
  3. Step 3: Cross multiply
    38,945.95x = 84,726.14 × 84,726.14
  4. Step 4: Simplify right side
    38,945.95x = 7,178,518,905.21
  5. Step 5: Solve for x
    x = 7,178,518,905.21/38,945.95
  6. Step 6: Final answer
    x = 184,320.02

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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.