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Finding the Third Proportional to 45,915 and 65,728.50

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Solution

The third proportional to 45,915 and 65,728.50 is: 94,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,915 : 65,728.50 = 65,728.50 : x
  2. Step 2: Convert to fraction form
    45,915/65,728.50 = 65,728.50/x
  3. Step 3: Cross multiply
    45,915x = 65,728.50 × 65,728.50
  4. Step 4: Simplify right side
    45,915x = 4,320,235,712.25
  5. Step 5: Solve for x
    x = 4,320,235,712.25/45,915
  6. Step 6: Final answer
    x = 94,092.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.