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Finding the Third Proportional to 12,800.44 and 28,061.06

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Solution

The third proportional to 12,800.44 and 28,061.06 is: 61,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.44 : 28,061.06 = 28,061.06 : x
  2. Step 2: Convert to fraction form
    12,800.44/28,061.06 = 28,061.06/x
  3. Step 3: Cross multiply
    12,800.44x = 28,061.06 × 28,061.06
  4. Step 4: Simplify right side
    12,800.44x = 787,423,228.63
  5. Step 5: Solve for x
    x = 787,423,228.63/12,800.44
  6. Step 6: Final answer
    x = 61,515.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.