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Finding the Third Proportional to 35,766 and 51,585

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Solution

The third proportional to 35,766 and 51,585 is: 74,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766 : 51,585 = 51,585 : x
  2. Step 2: Convert to fraction form
    35,766/51,585 = 51,585/x
  3. Step 3: Cross multiply
    35,766x = 51,585 × 51,585
  4. Step 4: Simplify right side
    35,766x = 2,661,012,225
  5. Step 5: Solve for x
    x = 2,661,012,225/35,766
  6. Step 6: Final answer
    x = 74,400.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.