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Finding the Third Proportional to 31,313 and 55,187

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Solution

The third proportional to 31,313 and 55,187 is: 97,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,313 : 55,187 = 55,187 : x
  2. Step 2: Convert to fraction form
    31,313/55,187 = 55,187/x
  3. Step 3: Cross multiply
    31,313x = 55,187 × 55,187
  4. Step 4: Simplify right side
    31,313x = 3,045,604,969
  5. Step 5: Solve for x
    x = 3,045,604,969/31,313
  6. Step 6: Final answer
    x = 97,263.28

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.