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Finding the Third Proportional to 19,572 and 38,176

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Solution

The third proportional to 19,572 and 38,176 is: 74,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,572 : 38,176 = 38,176 : x
  2. Step 2: Convert to fraction form
    19,572/38,176 = 38,176/x
  3. Step 3: Cross multiply
    19,572x = 38,176 × 38,176
  4. Step 4: Simplify right side
    19,572x = 1,457,406,976
  5. Step 5: Solve for x
    x = 1,457,406,976/19,572
  6. Step 6: Final answer
    x = 74,463.88

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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.