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Finding the Third Proportional to 15,291 and 23,827.50

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Solution

The third proportional to 15,291 and 23,827.50 is: 37,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,291 : 23,827.50 = 23,827.50 : x
  2. Step 2: Convert to fraction form
    15,291/23,827.50 = 23,827.50/x
  3. Step 3: Cross multiply
    15,291x = 23,827.50 × 23,827.50
  4. Step 4: Simplify right side
    15,291x = 567,749,756.25
  5. Step 5: Solve for x
    x = 567,749,756.25/15,291
  6. Step 6: Final answer
    x = 37,129.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.