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Finding the Third Proportional to 19,314.56 and 29,890.13

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Solution

The third proportional to 19,314.56 and 29,890.13 is: 46,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314.56 : 29,890.13 = 29,890.13 : x
  2. Step 2: Convert to fraction form
    19,314.56/29,890.13 = 29,890.13/x
  3. Step 3: Cross multiply
    19,314.56x = 29,890.13 × 29,890.13
  4. Step 4: Simplify right side
    19,314.56x = 893,419,572.52
  5. Step 5: Solve for x
    x = 893,419,572.52/19,314.56
  6. Step 6: Final answer
    x = 46,256.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.