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Finding the Third Proportional to 19,585.88 and 29,421.94

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Solution

The third proportional to 19,585.88 and 29,421.94 is: 44,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.88 : 29,421.94 = 29,421.94 : x
  2. Step 2: Convert to fraction form
    19,585.88/29,421.94 = 29,421.94/x
  3. Step 3: Cross multiply
    19,585.88x = 29,421.94 × 29,421.94
  4. Step 4: Simplify right side
    19,585.88x = 865,650,406.25
  5. Step 5: Solve for x
    x = 865,650,406.25/19,585.88
  6. Step 6: Final answer
    x = 44,197.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.