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Finding the Third Proportional to 12,237.19 and 19,077.19

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Solution

The third proportional to 12,237.19 and 19,077.19 is: 29,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.19 : 19,077.19 = 19,077.19 : x
  2. Step 2: Convert to fraction form
    12,237.19/19,077.19 = 19,077.19/x
  3. Step 3: Cross multiply
    12,237.19x = 19,077.19 × 19,077.19
  4. Step 4: Simplify right side
    12,237.19x = 363,939,082.91
  5. Step 5: Solve for x
    x = 363,939,082.91/12,237.19
  6. Step 6: Final answer
    x = 29,740.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.