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Finding the Third Proportional to 35,966.50 and 56,420

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Solution

The third proportional to 35,966.50 and 56,420 is: 88,505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,966.50 : 56,420 = 56,420 : x
  2. Step 2: Convert to fraction form
    35,966.50/56,420 = 56,420/x
  3. Step 3: Cross multiply
    35,966.50x = 56,420 × 56,420
  4. Step 4: Simplify right side
    35,966.50x = 3,183,216,400
  5. Step 5: Solve for x
    x = 3,183,216,400/35,966.50
  6. Step 6: Final answer
    x = 88,505.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.