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Finding the Third Proportional to 10,675.13 and 14,828.06

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Solution

The third proportional to 10,675.13 and 14,828.06 is: 20,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.13 : 14,828.06 = 14,828.06 : x
  2. Step 2: Convert to fraction form
    10,675.13/14,828.06 = 14,828.06/x
  3. Step 3: Cross multiply
    10,675.13x = 14,828.06 × 14,828.06
  4. Step 4: Simplify right side
    10,675.13x = 219,871,437.50
  5. Step 5: Solve for x
    x = 219,871,437.50/10,675.13
  6. Step 6: Final answer
    x = 20,596.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.