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Finding the Third Proportional to 15,754.50 and 24,044.34

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Solution

The third proportional to 15,754.50 and 24,044.34 is: 36,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.50 : 24,044.34 = 24,044.34 : x
  2. Step 2: Convert to fraction form
    15,754.50/24,044.34 = 24,044.34/x
  3. Step 3: Cross multiply
    15,754.50x = 24,044.34 × 24,044.34
  4. Step 4: Simplify right side
    15,754.50x = 578,130,466.37
  5. Step 5: Solve for x
    x = 578,130,466.37/15,754.50
  6. Step 6: Final answer
    x = 36,696.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.