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Finding the Third Proportional to 4,564.88 and 7,048.88

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Solution

The third proportional to 4,564.88 and 7,048.88 is: 10,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.88 : 7,048.88 = 7,048.88 : x
  2. Step 2: Convert to fraction form
    4,564.88/7,048.88 = 7,048.88/x
  3. Step 3: Cross multiply
    4,564.88x = 7,048.88 × 7,048.88
  4. Step 4: Simplify right side
    4,564.88x = 49,686,638.77
  5. Step 5: Solve for x
    x = 49,686,638.77/4,564.88
  6. Step 6: Final answer
    x = 10,884.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.