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Finding the Third Proportional to 14,649.19 and 31,120.88

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Solution

The third proportional to 14,649.19 and 31,120.88 is: 66,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.19 : 31,120.88 = 31,120.88 : x
  2. Step 2: Convert to fraction form
    14,649.19/31,120.88 = 31,120.88/x
  3. Step 3: Cross multiply
    14,649.19x = 31,120.88 × 31,120.88
  4. Step 4: Simplify right side
    14,649.19x = 968,508,860.77
  5. Step 5: Solve for x
    x = 968,508,860.77/14,649.19
  6. Step 6: Final answer
    x = 66,113.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.