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Finding the Third Proportional to 14,581 and 21,867.50

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Solution

The third proportional to 14,581 and 21,867.50 is: 32,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,581 : 21,867.50 = 21,867.50 : x
  2. Step 2: Convert to fraction form
    14,581/21,867.50 = 21,867.50/x
  3. Step 3: Cross multiply
    14,581x = 21,867.50 × 21,867.50
  4. Step 4: Simplify right side
    14,581x = 478,187,556.25
  5. Step 5: Solve for x
    x = 478,187,556.25/14,581
  6. Step 6: Final answer
    x = 32,795.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.