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Finding the Third Proportional to 19,114 and 29,523.13

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Solution

The third proportional to 19,114 and 29,523.13 is: 45,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114 : 29,523.13 = 29,523.13 : x
  2. Step 2: Convert to fraction form
    19,114/29,523.13 = 29,523.13/x
  3. Step 3: Cross multiply
    19,114x = 29,523.13 × 29,523.13
  4. Step 4: Simplify right side
    19,114x = 871,614,909.77
  5. Step 5: Solve for x
    x = 871,614,909.77/19,114
  6. Step 6: Final answer
    x = 45,600.86

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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.