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Finding the Third Proportional to 44,031 and 66,254

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Solution

The third proportional to 44,031 and 66,254 is: 99,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,031 : 66,254 = 66,254 : x
  2. Step 2: Convert to fraction form
    44,031/66,254 = 66,254/x
  3. Step 3: Cross multiply
    44,031x = 66,254 × 66,254
  4. Step 4: Simplify right side
    44,031x = 4,389,592,516
  5. Step 5: Solve for x
    x = 4,389,592,516/44,031
  6. Step 6: Final answer
    x = 99,693.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.