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Finding the Third Proportional to 35,977.50 and 56,313

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Solution

The third proportional to 35,977.50 and 56,313 is: 88,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,977.50 : 56,313 = 56,313 : x
  2. Step 2: Convert to fraction form
    35,977.50/56,313 = 56,313/x
  3. Step 3: Cross multiply
    35,977.50x = 56,313 × 56,313
  4. Step 4: Simplify right side
    35,977.50x = 3,171,153,969
  5. Step 5: Solve for x
    x = 3,171,153,969/35,977.50
  6. Step 6: Final answer
    x = 88,142.70

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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.