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Finding the Third Proportional to 26,066 and 61,472

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Solution

The third proportional to 26,066 and 61,472 is: 144,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,066 : 61,472 = 61,472 : x
  2. Step 2: Convert to fraction form
    26,066/61,472 = 61,472/x
  3. Step 3: Cross multiply
    26,066x = 61,472 × 61,472
  4. Step 4: Simplify right side
    26,066x = 3,778,806,784
  5. Step 5: Solve for x
    x = 3,778,806,784/26,066
  6. Step 6: Final answer
    x = 144,970.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.