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Finding the Third Proportional to 19,135.13 and 29,701.13

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Solution

The third proportional to 19,135.13 and 29,701.13 is: 46,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,135.13 : 29,701.13 = 29,701.13 : x
  2. Step 2: Convert to fraction form
    19,135.13/29,701.13 = 29,701.13/x
  3. Step 3: Cross multiply
    19,135.13x = 29,701.13 × 29,701.13
  4. Step 4: Simplify right side
    19,135.13x = 882,156,826.27
  5. Step 5: Solve for x
    x = 882,156,826.27/19,135.13
  6. Step 6: Final answer
    x = 46,101.44

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