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Finding the Third Proportional to 27,043 and 42,490

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Solution

The third proportional to 27,043 and 42,490 is: 66,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,043 : 42,490 = 42,490 : x
  2. Step 2: Convert to fraction form
    27,043/42,490 = 42,490/x
  3. Step 3: Cross multiply
    27,043x = 42,490 × 42,490
  4. Step 4: Simplify right side
    27,043x = 1,805,400,100
  5. Step 5: Solve for x
    x = 1,805,400,100/27,043
  6. Step 6: Final answer
    x = 66,760.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.