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Finding the Third Proportional to 26,308 and 38,484

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Solution

The third proportional to 26,308 and 38,484 is: 56,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,308 : 38,484 = 38,484 : x
  2. Step 2: Convert to fraction form
    26,308/38,484 = 38,484/x
  3. Step 3: Cross multiply
    26,308x = 38,484 × 38,484
  4. Step 4: Simplify right side
    26,308x = 1,481,018,256
  5. Step 5: Solve for x
    x = 1,481,018,256/26,308
  6. Step 6: Final answer
    x = 56,295.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.