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Finding the Third Proportional to 24,673 and 37,623

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Solution

The third proportional to 24,673 and 37,623 is: 57,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,673 : 37,623 = 37,623 : x
  2. Step 2: Convert to fraction form
    24,673/37,623 = 37,623/x
  3. Step 3: Cross multiply
    24,673x = 37,623 × 37,623
  4. Step 4: Simplify right side
    24,673x = 1,415,490,129
  5. Step 5: Solve for x
    x = 1,415,490,129/24,673
  6. Step 6: Final answer
    x = 57,370.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.