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Finding the Third Proportional to 43,294 and 65,409

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Solution

The third proportional to 43,294 and 65,409 is: 98,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,294 : 65,409 = 65,409 : x
  2. Step 2: Convert to fraction form
    43,294/65,409 = 65,409/x
  3. Step 3: Cross multiply
    43,294x = 65,409 × 65,409
  4. Step 4: Simplify right side
    43,294x = 4,278,337,281
  5. Step 5: Solve for x
    x = 4,278,337,281/43,294
  6. Step 6: Final answer
    x = 98,820.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.