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Finding the Third Proportional to 20,970 and 46,602

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Solution

The third proportional to 20,970 and 46,602 is: 103,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970 : 46,602 = 46,602 : x
  2. Step 2: Convert to fraction form
    20,970/46,602 = 46,602/x
  3. Step 3: Cross multiply
    20,970x = 46,602 × 46,602
  4. Step 4: Simplify right side
    20,970x = 2,171,746,404
  5. Step 5: Solve for x
    x = 2,171,746,404/20,970
  6. Step 6: Final answer
    x = 103,564.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.