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Finding the Third Proportional to 19,252.69 and 29,701.69

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Solution

The third proportional to 19,252.69 and 29,701.69 is: 45,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,252.69 : 29,701.69 = 29,701.69 : x
  2. Step 2: Convert to fraction form
    19,252.69/29,701.69 = 29,701.69/x
  3. Step 3: Cross multiply
    19,252.69x = 29,701.69 × 29,701.69
  4. Step 4: Simplify right side
    19,252.69x = 882,190,240.35
  5. Step 5: Solve for x
    x = 882,190,240.35/19,252.69
  6. Step 6: Final answer
    x = 45,821.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.