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Finding the Third Proportional to 14,283.50 and 29,263

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Solution

The third proportional to 14,283.50 and 29,263 is: 59,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.50 : 29,263 = 29,263 : x
  2. Step 2: Convert to fraction form
    14,283.50/29,263 = 29,263/x
  3. Step 3: Cross multiply
    14,283.50x = 29,263 × 29,263
  4. Step 4: Simplify right side
    14,283.50x = 856,323,169
  5. Step 5: Solve for x
    x = 856,323,169/14,283.50
  6. Step 6: Final answer
    x = 59,951.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.