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Finding the Third Proportional to 19,977 and 42,417

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Solution

The third proportional to 19,977 and 42,417 is: 90,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977 : 42,417 = 42,417 : x
  2. Step 2: Convert to fraction form
    19,977/42,417 = 42,417/x
  3. Step 3: Cross multiply
    19,977x = 42,417 × 42,417
  4. Step 4: Simplify right side
    19,977x = 1,799,201,889
  5. Step 5: Solve for x
    x = 1,799,201,889/19,977
  6. Step 6: Final answer
    x = 90,063.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.