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Finding the Third Proportional to 19,490 and 42,950

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Solution

The third proportional to 19,490 and 42,950 is: 94,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,490 : 42,950 = 42,950 : x
  2. Step 2: Convert to fraction form
    19,490/42,950 = 42,950/x
  3. Step 3: Cross multiply
    19,490x = 42,950 × 42,950
  4. Step 4: Simplify right side
    19,490x = 1,844,702,500
  5. Step 5: Solve for x
    x = 1,844,702,500/19,490
  6. Step 6: Final answer
    x = 94,648.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.