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Finding the Third Proportional to 19,005.80 and 29,152.64

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Solution

The third proportional to 19,005.80 and 29,152.64 is: 44,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,005.80 : 29,152.64 = 29,152.64 : x
  2. Step 2: Convert to fraction form
    19,005.80/29,152.64 = 29,152.64/x
  3. Step 3: Cross multiply
    19,005.80x = 29,152.64 × 29,152.64
  4. Step 4: Simplify right side
    19,005.80x = 849,876,455.41
  5. Step 5: Solve for x
    x = 849,876,455.41/19,005.80
  6. Step 6: Final answer
    x = 44,716.70

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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.