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Finding the Third Proportional to 39,526.50 and 85,614

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Solution

The third proportional to 39,526.50 and 85,614 is: 185,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,526.50 : 85,614 = 85,614 : x
  2. Step 2: Convert to fraction form
    39,526.50/85,614 = 85,614/x
  3. Step 3: Cross multiply
    39,526.50x = 85,614 × 85,614
  4. Step 4: Simplify right side
    39,526.50x = 7,329,756,996
  5. Step 5: Solve for x
    x = 7,329,756,996/39,526.50
  6. Step 6: Final answer
    x = 185,439.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.