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Finding the Third Proportional to 4,588.31 and 7,160.06

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Solution

The third proportional to 4,588.31 and 7,160.06 is: 11,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.31 : 7,160.06 = 7,160.06 : x
  2. Step 2: Convert to fraction form
    4,588.31/7,160.06 = 7,160.06/x
  3. Step 3: Cross multiply
    4,588.31x = 7,160.06 × 7,160.06
  4. Step 4: Simplify right side
    4,588.31x = 51,266,495.00
  5. Step 5: Solve for x
    x = 51,266,495.00/4,588.31
  6. Step 6: Final answer
    x = 11,173.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.