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Finding the Third Proportional to 18,918 and 26,513

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Solution

The third proportional to 18,918 and 26,513 is: 37,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,918 : 26,513 = 26,513 : x
  2. Step 2: Convert to fraction form
    18,918/26,513 = 26,513/x
  3. Step 3: Cross multiply
    18,918x = 26,513 × 26,513
  4. Step 4: Simplify right side
    18,918x = 702,939,169
  5. Step 5: Solve for x
    x = 702,939,169/18,918
  6. Step 6: Final answer
    x = 37,157.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.