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Finding the Third Proportional to 9,213 and 14,635.50

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Solution

The third proportional to 9,213 and 14,635.50 is: 23,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213 : 14,635.50 = 14,635.50 : x
  2. Step 2: Convert to fraction form
    9,213/14,635.50 = 14,635.50/x
  3. Step 3: Cross multiply
    9,213x = 14,635.50 × 14,635.50
  4. Step 4: Simplify right side
    9,213x = 214,197,860.25
  5. Step 5: Solve for x
    x = 214,197,860.25/9,213
  6. Step 6: Final answer
    x = 23,249.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.