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Finding the Third Proportional to 7,490 and 17,726

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Solution

The third proportional to 7,490 and 17,726 is: 41,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490 : 17,726 = 17,726 : x
  2. Step 2: Convert to fraction form
    7,490/17,726 = 17,726/x
  3. Step 3: Cross multiply
    7,490x = 17,726 × 17,726
  4. Step 4: Simplify right side
    7,490x = 314,211,076
  5. Step 5: Solve for x
    x = 314,211,076/7,490
  6. Step 6: Final answer
    x = 41,950.74

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.