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Finding the Third Proportional to 19,941.61 and 30,874.08

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Solution

The third proportional to 19,941.61 and 30,874.08 is: 47,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941.61 : 30,874.08 = 30,874.08 : x
  2. Step 2: Convert to fraction form
    19,941.61/30,874.08 = 30,874.08/x
  3. Step 3: Cross multiply
    19,941.61x = 30,874.08 × 30,874.08
  4. Step 4: Simplify right side
    19,941.61x = 953,208,700.07
  5. Step 5: Solve for x
    x = 953,208,700.07/19,941.61
  6. Step 6: Final answer
    x = 47,799.99

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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.