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Finding the Third Proportional to 19,537.88 and 42,737.63

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Solution

The third proportional to 19,537.88 and 42,737.63 is: 93,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.88 : 42,737.63 = 42,737.63 : x
  2. Step 2: Convert to fraction form
    19,537.88/42,737.63 = 42,737.63/x
  3. Step 3: Cross multiply
    19,537.88x = 42,737.63 × 42,737.63
  4. Step 4: Simplify right side
    19,537.88x = 1,826,504,590.64
  5. Step 5: Solve for x
    x = 1,826,504,590.64/19,537.88
  6. Step 6: Final answer
    x = 93,485.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.