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Finding the Third Proportional to 30,097 and 46,578

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Solution

The third proportional to 30,097 and 46,578 is: 72,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097 : 46,578 = 46,578 : x
  2. Step 2: Convert to fraction form
    30,097/46,578 = 46,578/x
  3. Step 3: Cross multiply
    30,097x = 46,578 × 46,578
  4. Step 4: Simplify right side
    30,097x = 2,169,510,084
  5. Step 5: Solve for x
    x = 2,169,510,084/30,097
  6. Step 6: Final answer
    x = 72,083.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.