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Finding the Third Proportional to 13,263.75 and 19,417.22

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Solution

The third proportional to 13,263.75 and 19,417.22 is: 28,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263.75 : 19,417.22 = 19,417.22 : x
  2. Step 2: Convert to fraction form
    13,263.75/19,417.22 = 19,417.22/x
  3. Step 3: Cross multiply
    13,263.75x = 19,417.22 × 19,417.22
  4. Step 4: Simplify right side
    13,263.75x = 377,028,383.99
  5. Step 5: Solve for x
    x = 377,028,383.99/13,263.75
  6. Step 6: Final answer
    x = 28,425.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.