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Finding the Third Proportional to 22,430 and 37,203

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Solution

The third proportional to 22,430 and 37,203 is: 61,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430 : 37,203 = 37,203 : x
  2. Step 2: Convert to fraction form
    22,430/37,203 = 37,203/x
  3. Step 3: Cross multiply
    22,430x = 37,203 × 37,203
  4. Step 4: Simplify right side
    22,430x = 1,384,063,209
  5. Step 5: Solve for x
    x = 1,384,063,209/22,430
  6. Step 6: Final answer
    x = 61,705.89

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.