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Finding the Third Proportional to 8,490 and 18,730

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Solution

The third proportional to 8,490 and 18,730 is: 41,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490 : 18,730 = 18,730 : x
  2. Step 2: Convert to fraction form
    8,490/18,730 = 18,730/x
  3. Step 3: Cross multiply
    8,490x = 18,730 × 18,730
  4. Step 4: Simplify right side
    8,490x = 350,812,900
  5. Step 5: Solve for x
    x = 350,812,900/8,490
  6. Step 6: Final answer
    x = 41,320.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.