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Finding the Third Proportional to 18,588 and 40,094

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Solution

The third proportional to 18,588 and 40,094 is: 86,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,588 : 40,094 = 40,094 : x
  2. Step 2: Convert to fraction form
    18,588/40,094 = 40,094/x
  3. Step 3: Cross multiply
    18,588x = 40,094 × 40,094
  4. Step 4: Simplify right side
    18,588x = 1,607,528,836
  5. Step 5: Solve for x
    x = 1,607,528,836/18,588
  6. Step 6: Final answer
    x = 86,482.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.