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Finding the Third Proportional to 14,851 and 30,643.50

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Solution

The third proportional to 14,851 and 30,643.50 is: 63,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,851 : 30,643.50 = 30,643.50 : x
  2. Step 2: Convert to fraction form
    14,851/30,643.50 = 30,643.50/x
  3. Step 3: Cross multiply
    14,851x = 30,643.50 × 30,643.50
  4. Step 4: Simplify right side
    14,851x = 939,024,092.25
  5. Step 5: Solve for x
    x = 939,024,092.25/14,851
  6. Step 6: Final answer
    x = 63,229.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.