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Finding the Third Proportional to 19,074 and 29,509.50

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Solution

The third proportional to 19,074 and 29,509.50 is: 45,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,074 : 29,509.50 = 29,509.50 : x
  2. Step 2: Convert to fraction form
    19,074/29,509.50 = 29,509.50/x
  3. Step 3: Cross multiply
    19,074x = 29,509.50 × 29,509.50
  4. Step 4: Simplify right side
    19,074x = 870,810,590.25
  5. Step 5: Solve for x
    x = 870,810,590.25/19,074
  6. Step 6: Final answer
    x = 45,654.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.