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Finding the Third Proportional to 12,597.19 and 19,146.38

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Solution

The third proportional to 12,597.19 and 19,146.38 is: 29,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.19 : 19,146.38 = 19,146.38 : x
  2. Step 2: Convert to fraction form
    12,597.19/19,146.38 = 19,146.38/x
  3. Step 3: Cross multiply
    12,597.19x = 19,146.38 × 19,146.38
  4. Step 4: Simplify right side
    12,597.19x = 366,583,675.64
  5. Step 5: Solve for x
    x = 366,583,675.64/12,597.19
  6. Step 6: Final answer
    x = 29,100.44

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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.