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Finding the Third Proportional to 19,113 and 39,576

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Solution

The third proportional to 19,113 and 39,576 is: 81,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,113 : 39,576 = 39,576 : x
  2. Step 2: Convert to fraction form
    19,113/39,576 = 39,576/x
  3. Step 3: Cross multiply
    19,113x = 39,576 × 39,576
  4. Step 4: Simplify right side
    19,113x = 1,566,259,776
  5. Step 5: Solve for x
    x = 1,566,259,776/19,113
  6. Step 6: Final answer
    x = 81,947.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.