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Finding the Third Proportional to 2,888.47 and 4,455.16

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Solution

The third proportional to 2,888.47 and 4,455.16 is: 6,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.47 : 4,455.16 = 4,455.16 : x
  2. Step 2: Convert to fraction form
    2,888.47/4,455.16 = 4,455.16/x
  3. Step 3: Cross multiply
    2,888.47x = 4,455.16 × 4,455.16
  4. Step 4: Simplify right side
    2,888.47x = 19,848,434.61
  5. Step 5: Solve for x
    x = 19,848,434.61/2,888.47
  6. Step 6: Final answer
    x = 6,871.60

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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.