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Finding the Third Proportional to 58,704.75 and 78,640.88

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Solution

The third proportional to 58,704.75 and 78,640.88 is: 105,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,704.75 : 78,640.88 = 78,640.88 : x
  2. Step 2: Convert to fraction form
    58,704.75/78,640.88 = 78,640.88/x
  3. Step 3: Cross multiply
    58,704.75x = 78,640.88 × 78,640.88
  4. Step 4: Simplify right side
    58,704.75x = 6,184,387,220.77
  5. Step 5: Solve for x
    x = 6,184,387,220.77/58,704.75
  6. Step 6: Final answer
    x = 105,347.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.