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Finding the Third Proportional to 9,468 and 15,124.50

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Solution

The third proportional to 9,468 and 15,124.50 is: 24,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468 : 15,124.50 = 15,124.50 : x
  2. Step 2: Convert to fraction form
    9,468/15,124.50 = 15,124.50/x
  3. Step 3: Cross multiply
    9,468x = 15,124.50 × 15,124.50
  4. Step 4: Simplify right side
    9,468x = 228,750,500.25
  5. Step 5: Solve for x
    x = 228,750,500.25/9,468
  6. Step 6: Final answer
    x = 24,160.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.