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Finding the Third Proportional to 46,139.63 and 65,979.19

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Solution

The third proportional to 46,139.63 and 65,979.19 is: 94,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,139.63 : 65,979.19 = 65,979.19 : x
  2. Step 2: Convert to fraction form
    46,139.63/65,979.19 = 65,979.19/x
  3. Step 3: Cross multiply
    46,139.63x = 65,979.19 × 65,979.19
  4. Step 4: Simplify right side
    46,139.63x = 4,353,253,183.16
  5. Step 5: Solve for x
    x = 4,353,253,183.16/46,139.63
  6. Step 6: Final answer
    x = 94,349.56

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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.