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Finding the Third Proportional to 37,970 and 83,332

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Solution

The third proportional to 37,970 and 83,332 is: 182,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,970 : 83,332 = 83,332 : x
  2. Step 2: Convert to fraction form
    37,970/83,332 = 83,332/x
  3. Step 3: Cross multiply
    37,970x = 83,332 × 83,332
  4. Step 4: Simplify right side
    37,970x = 6,944,222,224
  5. Step 5: Solve for x
    x = 6,944,222,224/37,970
  6. Step 6: Final answer
    x = 182,887.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.