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Finding the Third Proportional to 7,984 and 17,572

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Solution

The third proportional to 7,984 and 17,572 is: 38,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984 : 17,572 = 17,572 : x
  2. Step 2: Convert to fraction form
    7,984/17,572 = 17,572/x
  3. Step 3: Cross multiply
    7,984x = 17,572 × 17,572
  4. Step 4: Simplify right side
    7,984x = 308,775,184
  5. Step 5: Solve for x
    x = 308,775,184/7,984
  6. Step 6: Final answer
    x = 38,674.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.