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Finding the Third Proportional to 19,929.38 and 30,533.63

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Solution

The third proportional to 19,929.38 and 30,533.63 is: 46,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,929.38 : 30,533.63 = 30,533.63 : x
  2. Step 2: Convert to fraction form
    19,929.38/30,533.63 = 30,533.63/x
  3. Step 3: Cross multiply
    19,929.38x = 30,533.63 × 30,533.63
  4. Step 4: Simplify right side
    19,929.38x = 932,302,255.64
  5. Step 5: Solve for x
    x = 932,302,255.64/19,929.38
  6. Step 6: Final answer
    x = 46,780.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.