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Finding the Third Proportional to 7,795.13 and 14,871.94

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Solution

The third proportional to 7,795.13 and 14,871.94 is: 28,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.13 : 14,871.94 = 14,871.94 : x
  2. Step 2: Convert to fraction form
    7,795.13/14,871.94 = 14,871.94/x
  3. Step 3: Cross multiply
    7,795.13x = 14,871.94 × 14,871.94
  4. Step 4: Simplify right side
    7,795.13x = 221,174,525.00
  5. Step 5: Solve for x
    x = 221,174,525.00/7,795.13
  6. Step 6: Final answer
    x = 28,373.44

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.