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Finding the Third Proportional to 24,004 and 37,580

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Solution

The third proportional to 24,004 and 37,580 is: 58,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,004 : 37,580 = 37,580 : x
  2. Step 2: Convert to fraction form
    24,004/37,580 = 37,580/x
  3. Step 3: Cross multiply
    24,004x = 37,580 × 37,580
  4. Step 4: Simplify right side
    24,004x = 1,412,256,400
  5. Step 5: Solve for x
    x = 1,412,256,400/24,004
  6. Step 6: Final answer
    x = 58,834.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.