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Finding the Third Proportional to 45,744 and 97,830

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Solution

The third proportional to 45,744 and 97,830 is: 209,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,744 : 97,830 = 97,830 : x
  2. Step 2: Convert to fraction form
    45,744/97,830 = 97,830/x
  3. Step 3: Cross multiply
    45,744x = 97,830 × 97,830
  4. Step 4: Simplify right side
    45,744x = 9,570,708,900
  5. Step 5: Solve for x
    x = 9,570,708,900/45,744
  6. Step 6: Final answer
    x = 209,223.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.