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Finding the Third Proportional to 6,792.61 and 10,498.36

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Solution

The third proportional to 6,792.61 and 10,498.36 is: 16,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.61 : 10,498.36 = 10,498.36 : x
  2. Step 2: Convert to fraction form
    6,792.61/10,498.36 = 10,498.36/x
  3. Step 3: Cross multiply
    6,792.61x = 10,498.36 × 10,498.36
  4. Step 4: Simplify right side
    6,792.61x = 110,215,549.57
  5. Step 5: Solve for x
    x = 110,215,549.57/6,792.61
  6. Step 6: Final answer
    x = 16,225.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.