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Finding the Third Proportional to 37,320 and 56,572

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Solution

The third proportional to 37,320 and 56,572 is: 85,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,320 : 56,572 = 56,572 : x
  2. Step 2: Convert to fraction form
    37,320/56,572 = 56,572/x
  3. Step 3: Cross multiply
    37,320x = 56,572 × 56,572
  4. Step 4: Simplify right side
    37,320x = 3,200,391,184
  5. Step 5: Solve for x
    x = 3,200,391,184/37,320
  6. Step 6: Final answer
    x = 85,755.39

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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.