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Finding the Third Proportional to 19,188.14 and 29,602.34

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Solution

The third proportional to 19,188.14 and 29,602.34 is: 45,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188.14 : 29,602.34 = 29,602.34 : x
  2. Step 2: Convert to fraction form
    19,188.14/29,602.34 = 29,602.34/x
  3. Step 3: Cross multiply
    19,188.14x = 29,602.34 × 29,602.34
  4. Step 4: Simplify right side
    19,188.14x = 876,298,292.96
  5. Step 5: Solve for x
    x = 876,298,292.96/19,188.14
  6. Step 6: Final answer
    x = 45,668.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.