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Finding the Third Proportional to 19,188 and 29,246.63

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Solution

The third proportional to 19,188 and 29,246.63 is: 44,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188 : 29,246.63 = 29,246.63 : x
  2. Step 2: Convert to fraction form
    19,188/29,246.63 = 29,246.63/x
  3. Step 3: Cross multiply
    19,188x = 29,246.63 × 29,246.63
  4. Step 4: Simplify right side
    19,188x = 855,365,073.89
  5. Step 5: Solve for x
    x = 855,365,073.89/19,188
  6. Step 6: Final answer
    x = 44,578.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.