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Finding the Third Proportional to 10,391.63 and 19,826.44

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Solution

The third proportional to 10,391.63 and 19,826.44 is: 37,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.63 : 19,826.44 = 19,826.44 : x
  2. Step 2: Convert to fraction form
    10,391.63/19,826.44 = 19,826.44/x
  3. Step 3: Cross multiply
    10,391.63x = 19,826.44 × 19,826.44
  4. Step 4: Simplify right side
    10,391.63x = 393,087,623.94
  5. Step 5: Solve for x
    x = 393,087,623.94/10,391.63
  6. Step 6: Final answer
    x = 37,827.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.