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Finding the Third Proportional to 14,271.19 and 30,995.16

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Solution

The third proportional to 14,271.19 and 30,995.16 is: 67,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.19 : 30,995.16 = 30,995.16 : x
  2. Step 2: Convert to fraction form
    14,271.19/30,995.16 = 30,995.16/x
  3. Step 3: Cross multiply
    14,271.19x = 30,995.16 × 30,995.16
  4. Step 4: Simplify right side
    14,271.19x = 960,699,710.96
  5. Step 5: Solve for x
    x = 960,699,710.96/14,271.19
  6. Step 6: Final answer
    x = 67,317.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.