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Finding the Third Proportional to 7,152.07 and 14,498.75

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Solution

The third proportional to 7,152.07 and 14,498.75 is: 29,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.07 : 14,498.75 = 14,498.75 : x
  2. Step 2: Convert to fraction form
    7,152.07/14,498.75 = 14,498.75/x
  3. Step 3: Cross multiply
    7,152.07x = 14,498.75 × 14,498.75
  4. Step 4: Simplify right side
    7,152.07x = 210,213,832.98
  5. Step 5: Solve for x
    x = 210,213,832.98/7,152.07
  6. Step 6: Final answer
    x = 29,392.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.