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Finding the Third Proportional to 10,038 and 13,335

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Solution

The third proportional to 10,038 and 13,335 is: 17,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038 : 13,335 = 13,335 : x
  2. Step 2: Convert to fraction form
    10,038/13,335 = 13,335/x
  3. Step 3: Cross multiply
    10,038x = 13,335 × 13,335
  4. Step 4: Simplify right side
    10,038x = 177,822,225
  5. Step 5: Solve for x
    x = 177,822,225/10,038
  6. Step 6: Final answer
    x = 17,714.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.