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Finding the Third Proportional to 19,133 and 40,582

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Solution

The third proportional to 19,133 and 40,582 is: 86,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,133 : 40,582 = 40,582 : x
  2. Step 2: Convert to fraction form
    19,133/40,582 = 40,582/x
  3. Step 3: Cross multiply
    19,133x = 40,582 × 40,582
  4. Step 4: Simplify right side
    19,133x = 1,646,898,724
  5. Step 5: Solve for x
    x = 1,646,898,724/19,133
  6. Step 6: Final answer
    x = 86,076.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.