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Finding the Third Proportional to 7,197.19 and 10,907.58

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Solution

The third proportional to 7,197.19 and 10,907.58 is: 16,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.19 : 10,907.58 = 10,907.58 : x
  2. Step 2: Convert to fraction form
    7,197.19/10,907.58 = 10,907.58/x
  3. Step 3: Cross multiply
    7,197.19x = 10,907.58 × 10,907.58
  4. Step 4: Simplify right side
    7,197.19x = 118,975,260.55
  5. Step 5: Solve for x
    x = 118,975,260.55/7,197.19
  6. Step 6: Final answer
    x = 16,530.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.