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Finding the Third Proportional to 45,728.93 and 70,376.34

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Solution

The third proportional to 45,728.93 and 70,376.34 is: 108,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,728.93 : 70,376.34 = 70,376.34 : x
  2. Step 2: Convert to fraction form
    45,728.93/70,376.34 = 70,376.34/x
  3. Step 3: Cross multiply
    45,728.93x = 70,376.34 × 70,376.34
  4. Step 4: Simplify right side
    45,728.93x = 4,952,829,759.62
  5. Step 5: Solve for x
    x = 4,952,829,759.62/45,728.93
  6. Step 6: Final answer
    x = 108,308.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.