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Finding the Third Proportional to 44,623 and 97,021

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Solution

The third proportional to 44,623 and 97,021 is: 210,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,623 : 97,021 = 97,021 : x
  2. Step 2: Convert to fraction form
    44,623/97,021 = 97,021/x
  3. Step 3: Cross multiply
    44,623x = 97,021 × 97,021
  4. Step 4: Simplify right side
    44,623x = 9,413,074,441
  5. Step 5: Solve for x
    x = 9,413,074,441/44,623
  6. Step 6: Final answer
    x = 210,946.70

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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.