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Finding the Third Proportional to 37,454 and 56,580

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Solution

The third proportional to 37,454 and 56,580 is: 85,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,454 : 56,580 = 56,580 : x
  2. Step 2: Convert to fraction form
    37,454/56,580 = 56,580/x
  3. Step 3: Cross multiply
    37,454x = 56,580 × 56,580
  4. Step 4: Simplify right side
    37,454x = 3,201,296,400
  5. Step 5: Solve for x
    x = 3,201,296,400/37,454
  6. Step 6: Final answer
    x = 85,472.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.