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Finding the Third Proportional to 46,923.75 and 53,691.75

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Solution

The third proportional to 46,923.75 and 53,691.75 is: 61,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,923.75 : 53,691.75 = 53,691.75 : x
  2. Step 2: Convert to fraction form
    46,923.75/53,691.75 = 53,691.75/x
  3. Step 3: Cross multiply
    46,923.75x = 53,691.75 × 53,691.75
  4. Step 4: Simplify right side
    46,923.75x = 2,882,804,018.06
  5. Step 5: Solve for x
    x = 2,882,804,018.06/46,923.75
  6. Step 6: Final answer
    x = 61,435.93

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.