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Finding the Third Proportional to 5,888 and 8,798

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Solution

The third proportional to 5,888 and 8,798 is: 13,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888 : 8,798 = 8,798 : x
  2. Step 2: Convert to fraction form
    5,888/8,798 = 8,798/x
  3. Step 3: Cross multiply
    5,888x = 8,798 × 8,798
  4. Step 4: Simplify right side
    5,888x = 77,404,804
  5. Step 5: Solve for x
    x = 77,404,804/5,888
  6. Step 6: Final answer
    x = 13,146.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.