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Finding the Third Proportional to 13,455.18 and 19,260.12

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Solution

The third proportional to 13,455.18 and 19,260.12 is: 27,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.18 : 19,260.12 = 19,260.12 : x
  2. Step 2: Convert to fraction form
    13,455.18/19,260.12 = 19,260.12/x
  3. Step 3: Cross multiply
    13,455.18x = 19,260.12 × 19,260.12
  4. Step 4: Simplify right side
    13,455.18x = 370,952,339.78
  5. Step 5: Solve for x
    x = 370,952,339.78/13,455.18
  6. Step 6: Final answer
    x = 27,569.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.