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Finding the Third Proportional to 10,069 and 13,913.50

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Solution

The third proportional to 10,069 and 13,913.50 is: 19,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 13,913.50 = 13,913.50 : x
  2. Step 2: Convert to fraction form
    10,069/13,913.50 = 13,913.50/x
  3. Step 3: Cross multiply
    10,069x = 13,913.50 × 13,913.50
  4. Step 4: Simplify right side
    10,069x = 193,585,482.25
  5. Step 5: Solve for x
    x = 193,585,482.25/10,069
  6. Step 6: Final answer
    x = 19,225.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.