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Finding the Third Proportional to 19,805.63 and 29,712.38

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Solution

The third proportional to 19,805.63 and 29,712.38 is: 44,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.63 : 29,712.38 = 29,712.38 : x
  2. Step 2: Convert to fraction form
    19,805.63/29,712.38 = 29,712.38/x
  3. Step 3: Cross multiply
    19,805.63x = 29,712.38 × 29,712.38
  4. Step 4: Simplify right side
    19,805.63x = 882,825,228.14
  5. Step 5: Solve for x
    x = 882,825,228.14/19,805.63
  6. Step 6: Final answer
    x = 44,574.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.