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Finding the Third Proportional to 27,995.63 and 42,120

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Solution

The third proportional to 27,995.63 and 42,120 is: 63,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,995.63 : 42,120 = 42,120 : x
  2. Step 2: Convert to fraction form
    27,995.63/42,120 = 42,120/x
  3. Step 3: Cross multiply
    27,995.63x = 42,120 × 42,120
  4. Step 4: Simplify right side
    27,995.63x = 1,774,094,400
  5. Step 5: Solve for x
    x = 1,774,094,400/27,995.63
  6. Step 6: Final answer
    x = 63,370.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.