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Finding the Third Proportional to 30,334 and 63,810

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Solution

The third proportional to 30,334 and 63,810 is: 134,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,334 : 63,810 = 63,810 : x
  2. Step 2: Convert to fraction form
    30,334/63,810 = 63,810/x
  3. Step 3: Cross multiply
    30,334x = 63,810 × 63,810
  4. Step 4: Simplify right side
    30,334x = 4,071,716,100
  5. Step 5: Solve for x
    x = 4,071,716,100/30,334
  6. Step 6: Final answer
    x = 134,229.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.