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Finding the Third Proportional to 19,709 and 42,334

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Solution

The third proportional to 19,709 and 42,334 is: 90,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709 : 42,334 = 42,334 : x
  2. Step 2: Convert to fraction form
    19,709/42,334 = 42,334/x
  3. Step 3: Cross multiply
    19,709x = 42,334 × 42,334
  4. Step 4: Simplify right side
    19,709x = 1,792,167,556
  5. Step 5: Solve for x
    x = 1,792,167,556/19,709
  6. Step 6: Final answer
    x = 90,931.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.