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Finding the Third Proportional to 12,518.30 and 19,238.77

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Solution

The third proportional to 12,518.30 and 19,238.77 is: 29,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,518.30 : 19,238.77 = 19,238.77 : x
  2. Step 2: Convert to fraction form
    12,518.30/19,238.77 = 19,238.77/x
  3. Step 3: Cross multiply
    12,518.30x = 19,238.77 × 19,238.77
  4. Step 4: Simplify right side
    12,518.30x = 370,130,102.77
  5. Step 5: Solve for x
    x = 370,130,102.77/12,518.30
  6. Step 6: Final answer
    x = 29,567.13

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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.