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Finding the Third Proportional to 44,823.75 and 97,533

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Solution

The third proportional to 44,823.75 and 97,533 is: 212,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,823.75 : 97,533 = 97,533 : x
  2. Step 2: Convert to fraction form
    44,823.75/97,533 = 97,533/x
  3. Step 3: Cross multiply
    44,823.75x = 97,533 × 97,533
  4. Step 4: Simplify right side
    44,823.75x = 9,512,686,089
  5. Step 5: Solve for x
    x = 9,512,686,089/44,823.75
  6. Step 6: Final answer
    x = 212,224.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.