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Finding the Third Proportional to 6,460 and 8,598

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Solution

The third proportional to 6,460 and 8,598 is: 11,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460 : 8,598 = 8,598 : x
  2. Step 2: Convert to fraction form
    6,460/8,598 = 8,598/x
  3. Step 3: Cross multiply
    6,460x = 8,598 × 8,598
  4. Step 4: Simplify right side
    6,460x = 73,925,604
  5. Step 5: Solve for x
    x = 73,925,604/6,460
  6. Step 6: Final answer
    x = 11,443.59

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.