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Finding the Third Proportional to 39,878 and 58,087.50

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Solution

The third proportional to 39,878 and 58,087.50 is: 84,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878 : 58,087.50 = 58,087.50 : x
  2. Step 2: Convert to fraction form
    39,878/58,087.50 = 58,087.50/x
  3. Step 3: Cross multiply
    39,878x = 58,087.50 × 58,087.50
  4. Step 4: Simplify right side
    39,878x = 3,374,157,656.25
  5. Step 5: Solve for x
    x = 3,374,157,656.25/39,878
  6. Step 6: Final answer
    x = 84,612.01

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.