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Finding the Third Proportional to 19,490 and 40,918

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Solution

The third proportional to 19,490 and 40,918 is: 85,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,490 : 40,918 = 40,918 : x
  2. Step 2: Convert to fraction form
    19,490/40,918 = 40,918/x
  3. Step 3: Cross multiply
    19,490x = 40,918 × 40,918
  4. Step 4: Simplify right side
    19,490x = 1,674,282,724
  5. Step 5: Solve for x
    x = 1,674,282,724/19,490
  6. Step 6: Final answer
    x = 85,904.71

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Why These Related Problems?

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