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Finding the Third Proportional to 30,513 and 44,833

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Solution

The third proportional to 30,513 and 44,833 is: 65,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513 : 44,833 = 44,833 : x
  2. Step 2: Convert to fraction form
    30,513/44,833 = 44,833/x
  3. Step 3: Cross multiply
    30,513x = 44,833 × 44,833
  4. Step 4: Simplify right side
    30,513x = 2,009,997,889
  5. Step 5: Solve for x
    x = 2,009,997,889/30,513
  6. Step 6: Final answer
    x = 65,873.49

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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.