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Finding the Third Proportional to 37,046 and 53,553

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Solution

The third proportional to 37,046 and 53,553 is: 77,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,046 : 53,553 = 53,553 : x
  2. Step 2: Convert to fraction form
    37,046/53,553 = 53,553/x
  3. Step 3: Cross multiply
    37,046x = 53,553 × 53,553
  4. Step 4: Simplify right side
    37,046x = 2,867,923,809
  5. Step 5: Solve for x
    x = 2,867,923,809/37,046
  6. Step 6: Final answer
    x = 77,415.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.