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Finding the Third Proportional to 32,486.06 and 77,832.14

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Solution

The third proportional to 32,486.06 and 77,832.14 is: 186,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.06 : 77,832.14 = 77,832.14 : x
  2. Step 2: Convert to fraction form
    32,486.06/77,832.14 = 77,832.14/x
  3. Step 3: Cross multiply
    32,486.06x = 77,832.14 × 77,832.14
  4. Step 4: Simplify right side
    32,486.06x = 6,057,842,114.27
  5. Step 5: Solve for x
    x = 6,057,842,114.27/32,486.06
  6. Step 6: Final answer
    x = 186,475.11

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.