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Finding the Third Proportional to 39,482.25 and 86,345.44

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Solution

The third proportional to 39,482.25 and 86,345.44 is: 188,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,482.25 : 86,345.44 = 86,345.44 : x
  2. Step 2: Convert to fraction form
    39,482.25/86,345.44 = 86,345.44/x
  3. Step 3: Cross multiply
    39,482.25x = 86,345.44 × 86,345.44
  4. Step 4: Simplify right side
    39,482.25x = 7,455,534,577.07
  5. Step 5: Solve for x
    x = 7,455,534,577.07/39,482.25
  6. Step 6: Final answer
    x = 188,832.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.