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Finding the Third Proportional to 14,024 and 19,044

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Solution

The third proportional to 14,024 and 19,044 is: 25,860.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024 : 19,044 = 19,044 : x
  2. Step 2: Convert to fraction form
    14,024/19,044 = 19,044/x
  3. Step 3: Cross multiply
    14,024x = 19,044 × 19,044
  4. Step 4: Simplify right side
    14,024x = 362,673,936
  5. Step 5: Solve for x
    x = 362,673,936/14,024
  6. Step 6: Final answer
    x = 25,860.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.