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Finding the Third Proportional to 19,490 and 42,094

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Solution

The third proportional to 19,490 and 42,094 is: 90,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,490 : 42,094 = 42,094 : x
  2. Step 2: Convert to fraction form
    19,490/42,094 = 42,094/x
  3. Step 3: Cross multiply
    19,490x = 42,094 × 42,094
  4. Step 4: Simplify right side
    19,490x = 1,771,904,836
  5. Step 5: Solve for x
    x = 1,771,904,836/19,490
  6. Step 6: Final answer
    x = 90,913.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.