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Finding the Third Proportional to 13,038.75 and 14,280.75

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Solution

The third proportional to 13,038.75 and 14,280.75 is: 15,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.75 : 14,280.75 = 14,280.75 : x
  2. Step 2: Convert to fraction form
    13,038.75/14,280.75 = 14,280.75/x
  3. Step 3: Cross multiply
    13,038.75x = 14,280.75 × 14,280.75
  4. Step 4: Simplify right side
    13,038.75x = 203,939,820.56
  5. Step 5: Solve for x
    x = 203,939,820.56/13,038.75
  6. Step 6: Final answer
    x = 15,641.06

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.