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Finding the Third Proportional to 28,526.34 and 41,982.47

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Solution

The third proportional to 28,526.34 and 41,982.47 is: 61,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,526.34 : 41,982.47 = 41,982.47 : x
  2. Step 2: Convert to fraction form
    28,526.34/41,982.47 = 41,982.47/x
  3. Step 3: Cross multiply
    28,526.34x = 41,982.47 × 41,982.47
  4. Step 4: Simplify right side
    28,526.34x = 1,762,527,682.34
  5. Step 5: Solve for x
    x = 1,762,527,682.34/28,526.34
  6. Step 6: Final answer
    x = 61,785.97

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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.