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Finding the Third Proportional to 26,628 and 39,066

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Solution

The third proportional to 26,628 and 39,066 is: 57,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,628 : 39,066 = 39,066 : x
  2. Step 2: Convert to fraction form
    26,628/39,066 = 39,066/x
  3. Step 3: Cross multiply
    26,628x = 39,066 × 39,066
  4. Step 4: Simplify right side
    26,628x = 1,526,152,356
  5. Step 5: Solve for x
    x = 1,526,152,356/26,628
  6. Step 6: Final answer
    x = 57,313.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.