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Finding the Third Proportional to 19,858 and 42,594

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Solution

The third proportional to 19,858 and 42,594 is: 91,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858 : 42,594 = 42,594 : x
  2. Step 2: Convert to fraction form
    19,858/42,594 = 42,594/x
  3. Step 3: Cross multiply
    19,858x = 42,594 × 42,594
  4. Step 4: Simplify right side
    19,858x = 1,814,248,836
  5. Step 5: Solve for x
    x = 1,814,248,836/19,858
  6. Step 6: Final answer
    x = 91,361.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.