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Finding the Third Proportional to 40,986 and 64,820.25

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Solution

The third proportional to 40,986 and 64,820.25 is: 102,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,986 : 64,820.25 = 64,820.25 : x
  2. Step 2: Convert to fraction form
    40,986/64,820.25 = 64,820.25/x
  3. Step 3: Cross multiply
    40,986x = 64,820.25 × 64,820.25
  4. Step 4: Simplify right side
    40,986x = 4,201,664,810.06
  5. Step 5: Solve for x
    x = 4,201,664,810.06/40,986
  6. Step 6: Final answer
    x = 102,514.63

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.