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Finding the Third Proportional to 44,421 and 65,955

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Solution

The third proportional to 44,421 and 65,955 is: 97,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,421 : 65,955 = 65,955 : x
  2. Step 2: Convert to fraction form
    44,421/65,955 = 65,955/x
  3. Step 3: Cross multiply
    44,421x = 65,955 × 65,955
  4. Step 4: Simplify right side
    44,421x = 4,350,062,025
  5. Step 5: Solve for x
    x = 4,350,062,025/44,421
  6. Step 6: Final answer
    x = 97,928.05

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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.