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Finding the Third Proportional to 2,886.47 and 4,588.73

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Solution

The third proportional to 2,886.47 and 4,588.73 is: 7,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.47 : 4,588.73 = 4,588.73 : x
  2. Step 2: Convert to fraction form
    2,886.47/4,588.73 = 4,588.73/x
  3. Step 3: Cross multiply
    2,886.47x = 4,588.73 × 4,588.73
  4. Step 4: Simplify right side
    2,886.47x = 21,056,483.16
  5. Step 5: Solve for x
    x = 21,056,483.16/2,886.47
  6. Step 6: Final answer
    x = 7,294.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.