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Finding the Third Proportional to 19,195.10 and 39,312.84

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Solution

The third proportional to 19,195.10 and 39,312.84 is: 80,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,195.10 : 39,312.84 = 39,312.84 : x
  2. Step 2: Convert to fraction form
    19,195.10/39,312.84 = 39,312.84/x
  3. Step 3: Cross multiply
    19,195.10x = 39,312.84 × 39,312.84
  4. Step 4: Simplify right side
    19,195.10x = 1,545,499,683.71
  5. Step 5: Solve for x
    x = 1,545,499,683.71/19,195.10
  6. Step 6: Final answer
    x = 80,515.32

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.