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Finding the Third Proportional to 30,224 and 44,464

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Solution

The third proportional to 30,224 and 44,464 is: 65,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224 : 44,464 = 44,464 : x
  2. Step 2: Convert to fraction form
    30,224/44,464 = 44,464/x
  3. Step 3: Cross multiply
    30,224x = 44,464 × 44,464
  4. Step 4: Simplify right side
    30,224x = 1,977,047,296
  5. Step 5: Solve for x
    x = 1,977,047,296/30,224
  6. Step 6: Final answer
    x = 65,413.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.