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Finding the Third Proportional to 35,937 and 56,092.50

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Solution

The third proportional to 35,937 and 56,092.50 is: 87,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,937 : 56,092.50 = 56,092.50 : x
  2. Step 2: Convert to fraction form
    35,937/56,092.50 = 56,092.50/x
  3. Step 3: Cross multiply
    35,937x = 56,092.50 × 56,092.50
  4. Step 4: Simplify right side
    35,937x = 3,146,368,556.25
  5. Step 5: Solve for x
    x = 3,146,368,556.25/35,937
  6. Step 6: Final answer
    x = 87,552.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.