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Finding the Third Proportional to 14,412.94 and 31,195.13

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Solution

The third proportional to 14,412.94 and 31,195.13 is: 67,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.94 : 31,195.13 = 31,195.13 : x
  2. Step 2: Convert to fraction form
    14,412.94/31,195.13 = 31,195.13/x
  3. Step 3: Cross multiply
    14,412.94x = 31,195.13 × 31,195.13
  4. Step 4: Simplify right side
    14,412.94x = 973,135,823.77
  5. Step 5: Solve for x
    x = 973,135,823.77/14,412.94
  6. Step 6: Final answer
    x = 67,518.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.