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Finding the Third Proportional to 12,465.26 and 19,159.21

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Solution

The third proportional to 12,465.26 and 19,159.21 is: 29,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.26 : 19,159.21 = 19,159.21 : x
  2. Step 2: Convert to fraction form
    12,465.26/19,159.21 = 19,159.21/x
  3. Step 3: Cross multiply
    12,465.26x = 19,159.21 × 19,159.21
  4. Step 4: Simplify right side
    12,465.26x = 367,075,298.26
  5. Step 5: Solve for x
    x = 367,075,298.26/12,465.26
  6. Step 6: Final answer
    x = 29,447.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.