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Finding the Third Proportional to 14,412.94 and 15,643.13

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Solution

The third proportional to 14,412.94 and 15,643.13 is: 16,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.94 : 15,643.13 = 15,643.13 : x
  2. Step 2: Convert to fraction form
    14,412.94/15,643.13 = 15,643.13/x
  3. Step 3: Cross multiply
    14,412.94x = 15,643.13 × 15,643.13
  4. Step 4: Simplify right side
    14,412.94x = 244,707,359.77
  5. Step 5: Solve for x
    x = 244,707,359.77/14,412.94
  6. Step 6: Final answer
    x = 16,978.31

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.