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Finding the Third Proportional to 30,438 and 44,604

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Solution

The third proportional to 30,438 and 44,604 is: 65,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 44,604 = 44,604 : x
  2. Step 2: Convert to fraction form
    30,438/44,604 = 44,604/x
  3. Step 3: Cross multiply
    30,438x = 44,604 × 44,604
  4. Step 4: Simplify right side
    30,438x = 1,989,516,816
  5. Step 5: Solve for x
    x = 1,989,516,816/30,438
  6. Step 6: Final answer
    x = 65,362.93

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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.