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Finding the Third Proportional to 7,474 and 10,459

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Solution

The third proportional to 7,474 and 10,459 is: 14,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474 : 10,459 = 10,459 : x
  2. Step 2: Convert to fraction form
    7,474/10,459 = 10,459/x
  3. Step 3: Cross multiply
    7,474x = 10,459 × 10,459
  4. Step 4: Simplify right side
    7,474x = 109,390,681
  5. Step 5: Solve for x
    x = 109,390,681/7,474
  6. Step 6: Final answer
    x = 14,636.16

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.