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Finding the Third Proportional to 37,128 and 53,644

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Solution

The third proportional to 37,128 and 53,644 is: 77,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,128 : 53,644 = 53,644 : x
  2. Step 2: Convert to fraction form
    37,128/53,644 = 53,644/x
  3. Step 3: Cross multiply
    37,128x = 53,644 × 53,644
  4. Step 4: Simplify right side
    37,128x = 2,877,678,736
  5. Step 5: Solve for x
    x = 2,877,678,736/37,128
  6. Step 6: Final answer
    x = 77,506.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.