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Finding the Third Proportional to 14,711 and 22,508.50

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Solution

The third proportional to 14,711 and 22,508.50 is: 34,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711 : 22,508.50 = 22,508.50 : x
  2. Step 2: Convert to fraction form
    14,711/22,508.50 = 22,508.50/x
  3. Step 3: Cross multiply
    14,711x = 22,508.50 × 22,508.50
  4. Step 4: Simplify right side
    14,711x = 506,632,572.25
  5. Step 5: Solve for x
    x = 506,632,572.25/14,711
  6. Step 6: Final answer
    x = 34,439.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.