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Finding the Third Proportional to 13,038 and 14,370

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Solution

The third proportional to 13,038 and 14,370 is: 15,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038 : 14,370 = 14,370 : x
  2. Step 2: Convert to fraction form
    13,038/14,370 = 14,370/x
  3. Step 3: Cross multiply
    13,038x = 14,370 × 14,370
  4. Step 4: Simplify right side
    13,038x = 206,496,900
  5. Step 5: Solve for x
    x = 206,496,900/13,038
  6. Step 6: Final answer
    x = 15,838.08

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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.