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Finding the Third Proportional to 44,570 and 96,820

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Solution

The third proportional to 44,570 and 96,820 is: 210,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,570 : 96,820 = 96,820 : x
  2. Step 2: Convert to fraction form
    44,570/96,820 = 96,820/x
  3. Step 3: Cross multiply
    44,570x = 96,820 × 96,820
  4. Step 4: Simplify right side
    44,570x = 9,374,112,400
  5. Step 5: Solve for x
    x = 9,374,112,400/44,570
  6. Step 6: Final answer
    x = 210,323.37

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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.