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Finding the Third Proportional to 18,346 and 37,660

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Solution

The third proportional to 18,346 and 37,660 is: 77,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,346 : 37,660 = 37,660 : x
  2. Step 2: Convert to fraction form
    18,346/37,660 = 37,660/x
  3. Step 3: Cross multiply
    18,346x = 37,660 × 37,660
  4. Step 4: Simplify right side
    18,346x = 1,418,275,600
  5. Step 5: Solve for x
    x = 1,418,275,600/18,346
  6. Step 6: Final answer
    x = 77,307.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.