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Finding the Third Proportional to 18,657 and 23,593.50

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Solution

The third proportional to 18,657 and 23,593.50 is: 29,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 23,593.50 = 23,593.50 : x
  2. Step 2: Convert to fraction form
    18,657/23,593.50 = 23,593.50/x
  3. Step 3: Cross multiply
    18,657x = 23,593.50 × 23,593.50
  4. Step 4: Simplify right side
    18,657x = 556,653,242.25
  5. Step 5: Solve for x
    x = 556,653,242.25/18,657
  6. Step 6: Final answer
    x = 29,836.16

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.