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Finding the Third Proportional to 30,957 and 46,362

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Solution

The third proportional to 30,957 and 46,362 is: 69,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957 : 46,362 = 46,362 : x
  2. Step 2: Convert to fraction form
    30,957/46,362 = 46,362/x
  3. Step 3: Cross multiply
    30,957x = 46,362 × 46,362
  4. Step 4: Simplify right side
    30,957x = 2,149,435,044
  5. Step 5: Solve for x
    x = 2,149,435,044/30,957
  6. Step 6: Final answer
    x = 69,432.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.