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Finding the Third Proportional to 30,456 and 44,541

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Solution

The third proportional to 30,456 and 44,541 is: 65,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456 : 44,541 = 44,541 : x
  2. Step 2: Convert to fraction form
    30,456/44,541 = 44,541/x
  3. Step 3: Cross multiply
    30,456x = 44,541 × 44,541
  4. Step 4: Simplify right side
    30,456x = 1,983,900,681
  5. Step 5: Solve for x
    x = 1,983,900,681/30,456
  6. Step 6: Final answer
    x = 65,139.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.