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Finding the Third Proportional to 20,810 and 44,946

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Solution

The third proportional to 20,810 and 44,946 is: 97,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810 : 44,946 = 44,946 : x
  2. Step 2: Convert to fraction form
    20,810/44,946 = 44,946/x
  3. Step 3: Cross multiply
    20,810x = 44,946 × 44,946
  4. Step 4: Simplify right side
    20,810x = 2,020,142,916
  5. Step 5: Solve for x
    x = 2,020,142,916/20,810
  6. Step 6: Final answer
    x = 97,075.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.