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Finding the Third Proportional to 14,968.13 and 30,331.13

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Solution

The third proportional to 14,968.13 and 30,331.13 is: 61,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968.13 : 30,331.13 = 30,331.13 : x
  2. Step 2: Convert to fraction form
    14,968.13/30,331.13 = 30,331.13/x
  3. Step 3: Cross multiply
    14,968.13x = 30,331.13 × 30,331.13
  4. Step 4: Simplify right side
    14,968.13x = 919,977,143.77
  5. Step 5: Solve for x
    x = 919,977,143.77/14,968.13
  6. Step 6: Final answer
    x = 61,462.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.