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Finding the Third Proportional to 14,192 and 19,968

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Solution

The third proportional to 14,192 and 19,968 is: 28,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192 : 19,968 = 19,968 : x
  2. Step 2: Convert to fraction form
    14,192/19,968 = 19,968/x
  3. Step 3: Cross multiply
    14,192x = 19,968 × 19,968
  4. Step 4: Simplify right side
    14,192x = 398,721,024
  5. Step 5: Solve for x
    x = 398,721,024/14,192
  6. Step 6: Final answer
    x = 28,094.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.