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Finding the Third Proportional to 39,210.75 and 59,180.63

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Solution

The third proportional to 39,210.75 and 59,180.63 is: 89,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,210.75 : 59,180.63 = 59,180.63 : x
  2. Step 2: Convert to fraction form
    39,210.75/59,180.63 = 59,180.63/x
  3. Step 3: Cross multiply
    39,210.75x = 59,180.63 × 59,180.63
  4. Step 4: Simplify right side
    39,210.75x = 3,502,346,375.39
  5. Step 5: Solve for x
    x = 3,502,346,375.39/39,210.75
  6. Step 6: Final answer
    x = 89,321.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.