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Finding the Third Proportional to 13,354.88 and 19,247.63

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Solution

The third proportional to 13,354.88 and 19,247.63 is: 27,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.88 : 19,247.63 = 19,247.63 : x
  2. Step 2: Convert to fraction form
    13,354.88/19,247.63 = 19,247.63/x
  3. Step 3: Cross multiply
    13,354.88x = 19,247.63 × 19,247.63
  4. Step 4: Simplify right side
    13,354.88x = 370,471,068.14
  5. Step 5: Solve for x
    x = 370,471,068.14/13,354.88
  6. Step 6: Final answer
    x = 27,740.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.