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Finding the Third Proportional to 19,455.19 and 37,851.05

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Solution

The third proportional to 19,455.19 and 37,851.05 is: 73,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,455.19 : 37,851.05 = 37,851.05 : x
  2. Step 2: Convert to fraction form
    19,455.19/37,851.05 = 37,851.05/x
  3. Step 3: Cross multiply
    19,455.19x = 37,851.05 × 37,851.05
  4. Step 4: Simplify right side
    19,455.19x = 1,432,701,749.53
  5. Step 5: Solve for x
    x = 1,432,701,749.53/19,455.19
  6. Step 6: Final answer
    x = 73,641.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.