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Finding the Third Proportional to 44,613 and 97,002

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Solution

The third proportional to 44,613 and 97,002 is: 210,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,613 : 97,002 = 97,002 : x
  2. Step 2: Convert to fraction form
    44,613/97,002 = 97,002/x
  3. Step 3: Cross multiply
    44,613x = 97,002 × 97,002
  4. Step 4: Simplify right side
    44,613x = 9,409,388,004
  5. Step 5: Solve for x
    x = 9,409,388,004/44,613
  6. Step 6: Final answer
    x = 210,911.35

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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.