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Finding the Third Proportional to 12,320 and 19,024

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Solution

The third proportional to 12,320 and 19,024 is: 29,376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320 : 19,024 = 19,024 : x
  2. Step 2: Convert to fraction form
    12,320/19,024 = 19,024/x
  3. Step 3: Cross multiply
    12,320x = 19,024 × 19,024
  4. Step 4: Simplify right side
    12,320x = 361,912,576
  5. Step 5: Solve for x
    x = 361,912,576/12,320
  6. Step 6: Final answer
    x = 29,376.02

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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.