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Finding the Third Proportional to 27,148 and 35,780

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Solution

The third proportional to 27,148 and 35,780 is: 47,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,148 : 35,780 = 35,780 : x
  2. Step 2: Convert to fraction form
    27,148/35,780 = 35,780/x
  3. Step 3: Cross multiply
    27,148x = 35,780 × 35,780
  4. Step 4: Simplify right side
    27,148x = 1,280,208,400
  5. Step 5: Solve for x
    x = 1,280,208,400/27,148
  6. Step 6: Final answer
    x = 47,156.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.