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Finding the Third Proportional to 19,114 and 40,820

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Solution

The third proportional to 19,114 and 40,820 is: 87,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114 : 40,820 = 40,820 : x
  2. Step 2: Convert to fraction form
    19,114/40,820 = 40,820/x
  3. Step 3: Cross multiply
    19,114x = 40,820 × 40,820
  4. Step 4: Simplify right side
    19,114x = 1,666,272,400
  5. Step 5: Solve for x
    x = 1,666,272,400/19,114
  6. Step 6: Final answer
    x = 87,175.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.