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Finding the Third Proportional to 19,880 and 45,984

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Solution

The third proportional to 19,880 and 45,984 is: 106,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880 : 45,984 = 45,984 : x
  2. Step 2: Convert to fraction form
    19,880/45,984 = 45,984/x
  3. Step 3: Cross multiply
    19,880x = 45,984 × 45,984
  4. Step 4: Simplify right side
    19,880x = 2,114,528,256
  5. Step 5: Solve for x
    x = 2,114,528,256/19,880
  6. Step 6: Final answer
    x = 106,364.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.