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Finding the Third Proportional to 30,838 and 46,202

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Solution

The third proportional to 30,838 and 46,202 is: 69,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838 : 46,202 = 46,202 : x
  2. Step 2: Convert to fraction form
    30,838/46,202 = 46,202/x
  3. Step 3: Cross multiply
    30,838x = 46,202 × 46,202
  4. Step 4: Simplify right side
    30,838x = 2,134,624,804
  5. Step 5: Solve for x
    x = 2,134,624,804/30,838
  6. Step 6: Final answer
    x = 69,220.60

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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.