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Finding the Third Proportional to 44,000 and 58,346

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Solution

The third proportional to 44,000 and 58,346 is: 77,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,000 : 58,346 = 58,346 : x
  2. Step 2: Convert to fraction form
    44,000/58,346 = 58,346/x
  3. Step 3: Cross multiply
    44,000x = 58,346 × 58,346
  4. Step 4: Simplify right side
    44,000x = 3,404,255,716
  5. Step 5: Solve for x
    x = 3,404,255,716/44,000
  6. Step 6: Final answer
    x = 77,369.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.