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Finding the Third Proportional to 14,228 and 15,503.75

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Solution

The third proportional to 14,228 and 15,503.75 is: 16,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228 : 15,503.75 = 15,503.75 : x
  2. Step 2: Convert to fraction form
    14,228/15,503.75 = 15,503.75/x
  3. Step 3: Cross multiply
    14,228x = 15,503.75 × 15,503.75
  4. Step 4: Simplify right side
    14,228x = 240,366,264.06
  5. Step 5: Solve for x
    x = 240,366,264.06/14,228
  6. Step 6: Final answer
    x = 16,893.89

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.