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Finding the Third Proportional to 30,256.50 and 40,443

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Solution

The third proportional to 30,256.50 and 40,443 is: 54,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.50 : 40,443 = 40,443 : x
  2. Step 2: Convert to fraction form
    30,256.50/40,443 = 40,443/x
  3. Step 3: Cross multiply
    30,256.50x = 40,443 × 40,443
  4. Step 4: Simplify right side
    30,256.50x = 1,635,636,249
  5. Step 5: Solve for x
    x = 1,635,636,249/30,256.50
  6. Step 6: Final answer
    x = 54,059.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.