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Finding the Third Proportional to 41,575 and 97,610

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Solution

The third proportional to 41,575 and 97,610 is: 229,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,575 : 97,610 = 97,610 : x
  2. Step 2: Convert to fraction form
    41,575/97,610 = 97,610/x
  3. Step 3: Cross multiply
    41,575x = 97,610 × 97,610
  4. Step 4: Simplify right side
    41,575x = 9,527,712,100
  5. Step 5: Solve for x
    x = 9,527,712,100/41,575
  6. Step 6: Final answer
    x = 229,169.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.