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Finding the Third Proportional to 4,830.75 and 8,398.13

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Solution

The third proportional to 4,830.75 and 8,398.13 is: 14,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.75 : 8,398.13 = 8,398.13 : x
  2. Step 2: Convert to fraction form
    4,830.75/8,398.13 = 8,398.13/x
  3. Step 3: Cross multiply
    4,830.75x = 8,398.13 × 8,398.13
  4. Step 4: Simplify right side
    4,830.75x = 70,528,503.52
  5. Step 5: Solve for x
    x = 70,528,503.52/4,830.75
  6. Step 6: Final answer
    x = 14,599.91

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.