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Finding the Third Proportional to 44,294.34 and 66,669.33

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Solution

The third proportional to 44,294.34 and 66,669.33 is: 100,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,294.34 : 66,669.33 = 66,669.33 : x
  2. Step 2: Convert to fraction form
    44,294.34/66,669.33 = 66,669.33/x
  3. Step 3: Cross multiply
    44,294.34x = 66,669.33 × 66,669.33
  4. Step 4: Simplify right side
    44,294.34x = 4,444,799,312.64
  5. Step 5: Solve for x
    x = 4,444,799,312.64/44,294.34
  6. Step 6: Final answer
    x = 100,346.88

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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.