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Finding the Third Proportional to 19,845 and 42,730.88

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Solution

The third proportional to 19,845 and 42,730.88 is: 92,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,845 : 42,730.88 = 42,730.88 : x
  2. Step 2: Convert to fraction form
    19,845/42,730.88 = 42,730.88/x
  3. Step 3: Cross multiply
    19,845x = 42,730.88 × 42,730.88
  4. Step 4: Simplify right side
    19,845x = 1,825,927,678.27
  5. Step 5: Solve for x
    x = 1,825,927,678.27/19,845
  6. Step 6: Final answer
    x = 92,009.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.