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Finding the Third Proportional to 19,820 and 44,014

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Solution

The third proportional to 19,820 and 44,014 is: 97,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820 : 44,014 = 44,014 : x
  2. Step 2: Convert to fraction form
    19,820/44,014 = 44,014/x
  3. Step 3: Cross multiply
    19,820x = 44,014 × 44,014
  4. Step 4: Simplify right side
    19,820x = 1,937,232,196
  5. Step 5: Solve for x
    x = 1,937,232,196/19,820
  6. Step 6: Final answer
    x = 97,741.28

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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.