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Finding the Third Proportional to 26,363 and 31,010.50

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Solution

The third proportional to 26,363 and 31,010.50 is: 36,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,363 : 31,010.50 = 31,010.50 : x
  2. Step 2: Convert to fraction form
    26,363/31,010.50 = 31,010.50/x
  3. Step 3: Cross multiply
    26,363x = 31,010.50 × 31,010.50
  4. Step 4: Simplify right side
    26,363x = 961,651,110.25
  5. Step 5: Solve for x
    x = 961,651,110.25/26,363
  6. Step 6: Final answer
    x = 36,477.30

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.