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Finding the Third Proportional to 16,840 and 26,417

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Solution

The third proportional to 16,840 and 26,417 is: 41,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,840 : 26,417 = 26,417 : x
  2. Step 2: Convert to fraction form
    16,840/26,417 = 26,417/x
  3. Step 3: Cross multiply
    16,840x = 26,417 × 26,417
  4. Step 4: Simplify right side
    16,840x = 697,857,889
  5. Step 5: Solve for x
    x = 697,857,889/16,840
  6. Step 6: Final answer
    x = 41,440.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.