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Finding the Third Proportional to 19,000.13 and 29,422.88

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Solution

The third proportional to 19,000.13 and 29,422.88 is: 45,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000.13 : 29,422.88 = 29,422.88 : x
  2. Step 2: Convert to fraction form
    19,000.13/29,422.88 = 29,422.88/x
  3. Step 3: Cross multiply
    19,000.13x = 29,422.88 × 29,422.88
  4. Step 4: Simplify right side
    19,000.13x = 865,705,573.27
  5. Step 5: Solve for x
    x = 865,705,573.27/19,000.13
  6. Step 6: Final answer
    x = 45,563.15

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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.