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Finding the Third Proportional to 8,613 and 14,227.50

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Solution

The third proportional to 8,613 and 14,227.50 is: 23,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613 : 14,227.50 = 14,227.50 : x
  2. Step 2: Convert to fraction form
    8,613/14,227.50 = 14,227.50/x
  3. Step 3: Cross multiply
    8,613x = 14,227.50 × 14,227.50
  4. Step 4: Simplify right side
    8,613x = 202,421,756.25
  5. Step 5: Solve for x
    x = 202,421,756.25/8,613
  6. Step 6: Final answer
    x = 23,501.89

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.