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Finding the Third Proportional to 18,985.22 and 29,472.61

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Solution

The third proportional to 18,985.22 and 29,472.61 is: 45,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,985.22 : 29,472.61 = 29,472.61 : x
  2. Step 2: Convert to fraction form
    18,985.22/29,472.61 = 29,472.61/x
  3. Step 3: Cross multiply
    18,985.22x = 29,472.61 × 29,472.61
  4. Step 4: Simplify right side
    18,985.22x = 868,634,703.37
  5. Step 5: Solve for x
    x = 868,634,703.37/18,985.22
  6. Step 6: Final answer
    x = 45,753.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.