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Finding the Third Proportional to 19,415.81 and 40,780.69

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Solution

The third proportional to 19,415.81 and 40,780.69 is: 85,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,415.81 : 40,780.69 = 40,780.69 : x
  2. Step 2: Convert to fraction form
    19,415.81/40,780.69 = 40,780.69/x
  3. Step 3: Cross multiply
    19,415.81x = 40,780.69 × 40,780.69
  4. Step 4: Simplify right side
    19,415.81x = 1,663,064,472.97
  5. Step 5: Solve for x
    x = 1,663,064,472.97/19,415.81
  6. Step 6: Final answer
    x = 85,655.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.