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Finding the Third Proportional to 15,944 and 37,232

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Solution

The third proportional to 15,944 and 37,232 is: 86,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,944 : 37,232 = 37,232 : x
  2. Step 2: Convert to fraction form
    15,944/37,232 = 37,232/x
  3. Step 3: Cross multiply
    15,944x = 37,232 × 37,232
  4. Step 4: Simplify right side
    15,944x = 1,386,221,824
  5. Step 5: Solve for x
    x = 1,386,221,824/15,944
  6. Step 6: Final answer
    x = 86,943.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.