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Finding the Third Proportional to 37,332 and 56,590

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Solution

The third proportional to 37,332 and 56,590 is: 85,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,332 : 56,590 = 56,590 : x
  2. Step 2: Convert to fraction form
    37,332/56,590 = 56,590/x
  3. Step 3: Cross multiply
    37,332x = 56,590 × 56,590
  4. Step 4: Simplify right side
    37,332x = 3,202,428,100
  5. Step 5: Solve for x
    x = 3,202,428,100/37,332
  6. Step 6: Final answer
    x = 85,782.39

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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.