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Finding the Third Proportional to 4,470 and 10,315.50

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Solution

The third proportional to 4,470 and 10,315.50 is: 23,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470 : 10,315.50 = 10,315.50 : x
  2. Step 2: Convert to fraction form
    4,470/10,315.50 = 10,315.50/x
  3. Step 3: Cross multiply
    4,470x = 10,315.50 × 10,315.50
  4. Step 4: Simplify right side
    4,470x = 106,409,540.25
  5. Step 5: Solve for x
    x = 106,409,540.25/4,470
  6. Step 6: Final answer
    x = 23,805.27

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.