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Finding the Third Proportional to 8,588.53 and 19,022.34

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Solution

The third proportional to 8,588.53 and 19,022.34 is: 42,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.53 : 19,022.34 = 19,022.34 : x
  2. Step 2: Convert to fraction form
    8,588.53/19,022.34 = 19,022.34/x
  3. Step 3: Cross multiply
    8,588.53x = 19,022.34 × 19,022.34
  4. Step 4: Simplify right side
    8,588.53x = 361,849,561.74
  5. Step 5: Solve for x
    x = 361,849,561.74/8,588.53
  6. Step 6: Final answer
    x = 42,131.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.