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Finding the Third Proportional to 19,275.19 and 30,243.94

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Solution

The third proportional to 19,275.19 and 30,243.94 is: 47,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,275.19 : 30,243.94 = 30,243.94 : x
  2. Step 2: Convert to fraction form
    19,275.19/30,243.94 = 30,243.94/x
  3. Step 3: Cross multiply
    19,275.19x = 30,243.94 × 30,243.94
  4. Step 4: Simplify right side
    19,275.19x = 914,695,755.50
  5. Step 5: Solve for x
    x = 914,695,755.50/19,275.19
  6. Step 6: Final answer
    x = 47,454.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.