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Finding the Third Proportional to 41,528 and 97,493.50

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Solution

The third proportional to 41,528 and 97,493.50 is: 228,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,528 : 97,493.50 = 97,493.50 : x
  2. Step 2: Convert to fraction form
    41,528/97,493.50 = 97,493.50/x
  3. Step 3: Cross multiply
    41,528x = 97,493.50 × 97,493.50
  4. Step 4: Simplify right side
    41,528x = 9,504,982,542.25
  5. Step 5: Solve for x
    x = 9,504,982,542.25/41,528
  6. Step 6: Final answer
    x = 228,881.30

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.