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Finding the Third Proportional to 27,426 and 40,960

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Solution

The third proportional to 27,426 and 40,960 is: 61,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,426 : 40,960 = 40,960 : x
  2. Step 2: Convert to fraction form
    27,426/40,960 = 40,960/x
  3. Step 3: Cross multiply
    27,426x = 40,960 × 40,960
  4. Step 4: Simplify right side
    27,426x = 1,677,721,600
  5. Step 5: Solve for x
    x = 1,677,721,600/27,426
  6. Step 6: Final answer
    x = 61,172.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.