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Finding the Third Proportional to 10,599 and 13,750.50

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Solution

The third proportional to 10,599 and 13,750.50 is: 17,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599 : 13,750.50 = 13,750.50 : x
  2. Step 2: Convert to fraction form
    10,599/13,750.50 = 13,750.50/x
  3. Step 3: Cross multiply
    10,599x = 13,750.50 × 13,750.50
  4. Step 4: Simplify right side
    10,599x = 189,076,250.25
  5. Step 5: Solve for x
    x = 189,076,250.25/10,599
  6. Step 6: Final answer
    x = 17,839.07

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.