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Finding the Third Proportional to 46,176.75 and 65,944.13

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Solution

The third proportional to 46,176.75 and 65,944.13 is: 94,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,176.75 : 65,944.13 = 65,944.13 : x
  2. Step 2: Convert to fraction form
    46,176.75/65,944.13 = 65,944.13/x
  3. Step 3: Cross multiply
    46,176.75x = 65,944.13 × 65,944.13
  4. Step 4: Simplify right side
    46,176.75x = 4,348,627,622.02
  5. Step 5: Solve for x
    x = 4,348,627,622.02/46,176.75
  6. Step 6: Final answer
    x = 94,173.53

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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.