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Finding the Third Proportional to 38,106 and 82,572

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Solution

The third proportional to 38,106 and 82,572 is: 178,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,106 : 82,572 = 82,572 : x
  2. Step 2: Convert to fraction form
    38,106/82,572 = 82,572/x
  3. Step 3: Cross multiply
    38,106x = 82,572 × 82,572
  4. Step 4: Simplify right side
    38,106x = 6,818,135,184
  5. Step 5: Solve for x
    x = 6,818,135,184/38,106
  6. Step 6: Final answer
    x = 178,925.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.