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Finding the Third Proportional to 12,375 and 24,130.50

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Solution

The third proportional to 12,375 and 24,130.50 is: 47,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375 : 24,130.50 = 24,130.50 : x
  2. Step 2: Convert to fraction form
    12,375/24,130.50 = 24,130.50/x
  3. Step 3: Cross multiply
    12,375x = 24,130.50 × 24,130.50
  4. Step 4: Simplify right side
    12,375x = 582,281,030.25
  5. Step 5: Solve for x
    x = 582,281,030.25/12,375
  6. Step 6: Final answer
    x = 47,053.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.