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Finding the Third Proportional to 26,090 and 37,389

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Solution

The third proportional to 26,090 and 37,389 is: 53,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,090 : 37,389 = 37,389 : x
  2. Step 2: Convert to fraction form
    26,090/37,389 = 37,389/x
  3. Step 3: Cross multiply
    26,090x = 37,389 × 37,389
  4. Step 4: Simplify right side
    26,090x = 1,397,937,321
  5. Step 5: Solve for x
    x = 1,397,937,321/26,090
  6. Step 6: Final answer
    x = 53,581.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.