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Finding the Third Proportional to 44,621 and 97,019

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Solution

The third proportional to 44,621 and 97,019 is: 210,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,621 : 97,019 = 97,019 : x
  2. Step 2: Convert to fraction form
    44,621/97,019 = 97,019/x
  3. Step 3: Cross multiply
    44,621x = 97,019 × 97,019
  4. Step 4: Simplify right side
    44,621x = 9,412,686,361
  5. Step 5: Solve for x
    x = 9,412,686,361/44,621
  6. Step 6: Final answer
    x = 210,947.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.