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Finding the Third Proportional to 26,273 and 38,385.50

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Solution

The third proportional to 26,273 and 38,385.50 is: 56,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,273 : 38,385.50 = 38,385.50 : x
  2. Step 2: Convert to fraction form
    26,273/38,385.50 = 38,385.50/x
  3. Step 3: Cross multiply
    26,273x = 38,385.50 × 38,385.50
  4. Step 4: Simplify right side
    26,273x = 1,473,446,610.25
  5. Step 5: Solve for x
    x = 1,473,446,610.25/26,273
  6. Step 6: Final answer
    x = 56,082.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.