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Finding the Third Proportional to 26,442 and 41,030

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Solution

The third proportional to 26,442 and 41,030 is: 63,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,442 : 41,030 = 41,030 : x
  2. Step 2: Convert to fraction form
    26,442/41,030 = 41,030/x
  3. Step 3: Cross multiply
    26,442x = 41,030 × 41,030
  4. Step 4: Simplify right side
    26,442x = 1,683,460,900
  5. Step 5: Solve for x
    x = 1,683,460,900/26,442
  6. Step 6: Final answer
    x = 63,666.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.