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Finding the Third Proportional to 19,355.63 and 29,588.63

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Solution

The third proportional to 19,355.63 and 29,588.63 is: 45,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,355.63 : 29,588.63 = 29,588.63 : x
  2. Step 2: Convert to fraction form
    19,355.63/29,588.63 = 29,588.63/x
  3. Step 3: Cross multiply
    19,355.63x = 29,588.63 × 29,588.63
  4. Step 4: Simplify right side
    19,355.63x = 875,486,729.39
  5. Step 5: Solve for x
    x = 875,486,729.39/19,355.63
  6. Step 6: Final answer
    x = 45,231.64

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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.