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Finding the Third Proportional to 44,008 and 58,354

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Solution

The third proportional to 44,008 and 58,354 is: 77,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,008 : 58,354 = 58,354 : x
  2. Step 2: Convert to fraction form
    44,008/58,354 = 58,354/x
  3. Step 3: Cross multiply
    44,008x = 58,354 × 58,354
  4. Step 4: Simplify right side
    44,008x = 3,405,189,316
  5. Step 5: Solve for x
    x = 3,405,189,316/44,008
  6. Step 6: Final answer
    x = 77,376.60

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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.