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Finding the Third Proportional to 15,303 and 23,980.50

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Solution

The third proportional to 15,303 and 23,980.50 is: 37,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,303 : 23,980.50 = 23,980.50 : x
  2. Step 2: Convert to fraction form
    15,303/23,980.50 = 23,980.50/x
  3. Step 3: Cross multiply
    15,303x = 23,980.50 × 23,980.50
  4. Step 4: Simplify right side
    15,303x = 575,064,380.25
  5. Step 5: Solve for x
    x = 575,064,380.25/15,303
  6. Step 6: Final answer
    x = 37,578.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.