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Finding the Third Proportional to 15,377.34 and 24,467.06

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Solution

The third proportional to 15,377.34 and 24,467.06 is: 38,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,377.34 : 24,467.06 = 24,467.06 : x
  2. Step 2: Convert to fraction form
    15,377.34/24,467.06 = 24,467.06/x
  3. Step 3: Cross multiply
    15,377.34x = 24,467.06 × 24,467.06
  4. Step 4: Simplify right side
    15,377.34x = 598,637,147.38
  5. Step 5: Solve for x
    x = 598,637,147.38/15,377.34
  6. Step 6: Final answer
    x = 38,929.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.