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Finding the Third Proportional to 7,287.19 and 15,611.63

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Solution

The third proportional to 7,287.19 and 15,611.63 is: 33,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.19 : 15,611.63 = 15,611.63 : x
  2. Step 2: Convert to fraction form
    7,287.19/15,611.63 = 15,611.63/x
  3. Step 3: Cross multiply
    7,287.19x = 15,611.63 × 15,611.63
  4. Step 4: Simplify right side
    7,287.19x = 243,722,835.14
  5. Step 5: Solve for x
    x = 243,722,835.14/7,287.19
  6. Step 6: Final answer
    x = 33,445.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.