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Finding the Third Proportional to 30,434 and 46,065

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Solution

The third proportional to 30,434 and 46,065 is: 69,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434 : 46,065 = 46,065 : x
  2. Step 2: Convert to fraction form
    30,434/46,065 = 46,065/x
  3. Step 3: Cross multiply
    30,434x = 46,065 × 46,065
  4. Step 4: Simplify right side
    30,434x = 2,121,984,225
  5. Step 5: Solve for x
    x = 2,121,984,225/30,434
  6. Step 6: Final answer
    x = 69,724.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.