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Finding the Third Proportional to 14,979.88 and 32,641

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Solution

The third proportional to 14,979.88 and 32,641 is: 71,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,979.88 : 32,641 = 32,641 : x
  2. Step 2: Convert to fraction form
    14,979.88/32,641 = 32,641/x
  3. Step 3: Cross multiply
    14,979.88x = 32,641 × 32,641
  4. Step 4: Simplify right side
    14,979.88x = 1,065,434,881
  5. Step 5: Solve for x
    x = 1,065,434,881/14,979.88
  6. Step 6: Final answer
    x = 71,124.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.