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Finding the Third Proportional to 14,311 and 29,026.50

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Solution

The third proportional to 14,311 and 29,026.50 is: 58,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311 : 29,026.50 = 29,026.50 : x
  2. Step 2: Convert to fraction form
    14,311/29,026.50 = 29,026.50/x
  3. Step 3: Cross multiply
    14,311x = 29,026.50 × 29,026.50
  4. Step 4: Simplify right side
    14,311x = 842,537,702.25
  5. Step 5: Solve for x
    x = 842,537,702.25/14,311
  6. Step 6: Final answer
    x = 58,873.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.