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Finding the Third Proportional to 37,314 and 56,332

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Solution

The third proportional to 37,314 and 56,332 is: 85,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,314 : 56,332 = 56,332 : x
  2. Step 2: Convert to fraction form
    37,314/56,332 = 56,332/x
  3. Step 3: Cross multiply
    37,314x = 56,332 × 56,332
  4. Step 4: Simplify right side
    37,314x = 3,173,294,224
  5. Step 5: Solve for x
    x = 3,173,294,224/37,314
  6. Step 6: Final answer
    x = 85,042.99

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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.