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Finding the Third Proportional to 14,335 and 20,719

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Solution

The third proportional to 14,335 and 20,719 is: 29,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335 : 20,719 = 20,719 : x
  2. Step 2: Convert to fraction form
    14,335/20,719 = 20,719/x
  3. Step 3: Cross multiply
    14,335x = 20,719 × 20,719
  4. Step 4: Simplify right side
    14,335x = 429,276,961
  5. Step 5: Solve for x
    x = 429,276,961/14,335
  6. Step 6: Final answer
    x = 29,946.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.