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Finding the Third Proportional to 19,917 and 30,029.63

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Solution

The third proportional to 19,917 and 30,029.63 is: 45,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,917 : 30,029.63 = 30,029.63 : x
  2. Step 2: Convert to fraction form
    19,917/30,029.63 = 30,029.63/x
  3. Step 3: Cross multiply
    19,917x = 30,029.63 × 30,029.63
  4. Step 4: Simplify right side
    19,917x = 901,778,377.64
  5. Step 5: Solve for x
    x = 901,778,377.64/19,917
  6. Step 6: Final answer
    x = 45,276.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.