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Finding the Third Proportional to 19,295.06 and 29,711.44

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Solution

The third proportional to 19,295.06 and 29,711.44 is: 45,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,295.06 : 29,711.44 = 29,711.44 : x
  2. Step 2: Convert to fraction form
    19,295.06/29,711.44 = 29,711.44/x
  3. Step 3: Cross multiply
    19,295.06x = 29,711.44 × 29,711.44
  4. Step 4: Simplify right side
    19,295.06x = 882,769,518.32
  5. Step 5: Solve for x
    x = 882,769,518.32/19,295.06
  6. Step 6: Final answer
    x = 45,751.06

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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.