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Finding the Third Proportional to 7,152.68 and 14,499.95

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Solution

The third proportional to 7,152.68 and 14,499.95 is: 29,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.68 : 14,499.95 = 14,499.95 : x
  2. Step 2: Convert to fraction form
    7,152.68/14,499.95 = 14,499.95/x
  3. Step 3: Cross multiply
    7,152.68x = 14,499.95 × 14,499.95
  4. Step 4: Simplify right side
    7,152.68x = 210,248,527.35
  5. Step 5: Solve for x
    x = 210,248,527.35/7,152.68
  6. Step 6: Final answer
    x = 29,394.37

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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.