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Finding the Third Proportional to 14,919.19 and 19,417.22

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Solution

The third proportional to 14,919.19 and 19,417.22 is: 25,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.19 : 19,417.22 = 19,417.22 : x
  2. Step 2: Convert to fraction form
    14,919.19/19,417.22 = 19,417.22/x
  3. Step 3: Cross multiply
    14,919.19x = 19,417.22 × 19,417.22
  4. Step 4: Simplify right side
    14,919.19x = 377,028,383.99
  5. Step 5: Solve for x
    x = 377,028,383.99/14,919.19
  6. Step 6: Final answer
    x = 25,271.38

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.