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Finding the Third Proportional to 19,319 and 40,714

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Solution

The third proportional to 19,319 and 40,714 is: 85,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,319 : 40,714 = 40,714 : x
  2. Step 2: Convert to fraction form
    19,319/40,714 = 40,714/x
  3. Step 3: Cross multiply
    19,319x = 40,714 × 40,714
  4. Step 4: Simplify right side
    19,319x = 1,657,629,796
  5. Step 5: Solve for x
    x = 1,657,629,796/19,319
  6. Step 6: Final answer
    x = 85,803.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.