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Finding the Third Proportional to 27,710.50 and 40,594

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Solution

The third proportional to 27,710.50 and 40,594 is: 59,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.50 : 40,594 = 40,594 : x
  2. Step 2: Convert to fraction form
    27,710.50/40,594 = 40,594/x
  3. Step 3: Cross multiply
    27,710.50x = 40,594 × 40,594
  4. Step 4: Simplify right side
    27,710.50x = 1,647,872,836
  5. Step 5: Solve for x
    x = 1,647,872,836/27,710.50
  6. Step 6: Final answer
    x = 59,467.45

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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.