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Finding the Third Proportional to 24,574 and 37,577

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Solution

The third proportional to 24,574 and 37,577 is: 57,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574 : 37,577 = 37,577 : x
  2. Step 2: Convert to fraction form
    24,574/37,577 = 37,577/x
  3. Step 3: Cross multiply
    24,574x = 37,577 × 37,577
  4. Step 4: Simplify right side
    24,574x = 1,412,030,929
  5. Step 5: Solve for x
    x = 1,412,030,929/24,574
  6. Step 6: Final answer
    x = 57,460.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.