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Finding the Third Proportional to 14,038 and 30,715

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Solution

The third proportional to 14,038 and 30,715 is: 67,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038 : 30,715 = 30,715 : x
  2. Step 2: Convert to fraction form
    14,038/30,715 = 30,715/x
  3. Step 3: Cross multiply
    14,038x = 30,715 × 30,715
  4. Step 4: Simplify right side
    14,038x = 943,411,225
  5. Step 5: Solve for x
    x = 943,411,225/14,038
  6. Step 6: Final answer
    x = 67,204.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.