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Finding the Third Proportional to 13,005.56 and 15,314.06

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Solution

The third proportional to 13,005.56 and 15,314.06 is: 18,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.56 : 15,314.06 = 15,314.06 : x
  2. Step 2: Convert to fraction form
    13,005.56/15,314.06 = 15,314.06/x
  3. Step 3: Cross multiply
    13,005.56x = 15,314.06 × 15,314.06
  4. Step 4: Simplify right side
    13,005.56x = 234,520,510.25
  5. Step 5: Solve for x
    x = 234,520,510.25/13,005.56
  6. Step 6: Final answer
    x = 18,032.32

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.