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Finding the Third Proportional to 15,972.19 and 23,378.63

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Solution

The third proportional to 15,972.19 and 23,378.63 is: 34,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972.19 : 23,378.63 = 23,378.63 : x
  2. Step 2: Convert to fraction form
    15,972.19/23,378.63 = 23,378.63/x
  3. Step 3: Cross multiply
    15,972.19x = 23,378.63 × 23,378.63
  4. Step 4: Simplify right side
    15,972.19x = 546,560,106.89
  5. Step 5: Solve for x
    x = 546,560,106.89/15,972.19
  6. Step 6: Final answer
    x = 34,219.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.