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Finding the Third Proportional to 9,298 and 19,572

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Solution

The third proportional to 9,298 and 19,572 is: 41,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298 : 19,572 = 19,572 : x
  2. Step 2: Convert to fraction form
    9,298/19,572 = 19,572/x
  3. Step 3: Cross multiply
    9,298x = 19,572 × 19,572
  4. Step 4: Simplify right side
    9,298x = 383,063,184
  5. Step 5: Solve for x
    x = 383,063,184/9,298
  6. Step 6: Final answer
    x = 41,198.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.