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Finding the Third Proportional to 27,782.16 and 61,569.28

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Solution

The third proportional to 27,782.16 and 61,569.28 is: 136,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.16 : 61,569.28 = 61,569.28 : x
  2. Step 2: Convert to fraction form
    27,782.16/61,569.28 = 61,569.28/x
  3. Step 3: Cross multiply
    27,782.16x = 61,569.28 × 61,569.28
  4. Step 4: Simplify right side
    27,782.16x = 3,790,776,393.64
  5. Step 5: Solve for x
    x = 3,790,776,393.64/27,782.16
  6. Step 6: Final answer
    x = 136,446.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.