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Finding the Third Proportional to 12,281.63 and 19,022.63

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Solution

The third proportional to 12,281.63 and 19,022.63 is: 29,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.63 : 19,022.63 = 19,022.63 : x
  2. Step 2: Convert to fraction form
    12,281.63/19,022.63 = 19,022.63/x
  3. Step 3: Cross multiply
    12,281.63x = 19,022.63 × 19,022.63
  4. Step 4: Simplify right side
    12,281.63x = 361,860,261.89
  5. Step 5: Solve for x
    x = 361,860,261.89/12,281.63
  6. Step 6: Final answer
    x = 29,463.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.