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Finding the Third Proportional to 41,087 and 58,712.50

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Solution

The third proportional to 41,087 and 58,712.50 is: 83,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,087 : 58,712.50 = 58,712.50 : x
  2. Step 2: Convert to fraction form
    41,087/58,712.50 = 58,712.50/x
  3. Step 3: Cross multiply
    41,087x = 58,712.50 × 58,712.50
  4. Step 4: Simplify right side
    41,087x = 3,447,157,656.25
  5. Step 5: Solve for x
    x = 3,447,157,656.25/41,087
  6. Step 6: Final answer
    x = 83,898.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.