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Finding the Third Proportional to 44,412 and 65,940

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Solution

The third proportional to 44,412 and 65,940 is: 97,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,412 : 65,940 = 65,940 : x
  2. Step 2: Convert to fraction form
    44,412/65,940 = 65,940/x
  3. Step 3: Cross multiply
    44,412x = 65,940 × 65,940
  4. Step 4: Simplify right side
    44,412x = 4,348,083,600
  5. Step 5: Solve for x
    x = 4,348,083,600/44,412
  6. Step 6: Final answer
    x = 97,903.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.