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Finding the Third Proportional to 7,989.81 and 14,980.10

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Solution

The third proportional to 7,989.81 and 14,980.10 is: 28,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989.81 : 14,980.10 = 14,980.10 : x
  2. Step 2: Convert to fraction form
    7,989.81/14,980.10 = 14,980.10/x
  3. Step 3: Cross multiply
    7,989.81x = 14,980.10 × 14,980.10
  4. Step 4: Simplify right side
    7,989.81x = 224,403,267.27
  5. Step 5: Solve for x
    x = 224,403,267.27/7,989.81
  6. Step 6: Final answer
    x = 28,086.18

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.