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Finding the Third Proportional to 8,480 and 19,670

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Solution

The third proportional to 8,480 and 19,670 is: 45,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480 : 19,670 = 19,670 : x
  2. Step 2: Convert to fraction form
    8,480/19,670 = 19,670/x
  3. Step 3: Cross multiply
    8,480x = 19,670 × 19,670
  4. Step 4: Simplify right side
    8,480x = 386,908,900
  5. Step 5: Solve for x
    x = 386,908,900/8,480
  6. Step 6: Final answer
    x = 45,626.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.