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Finding the Third Proportional to 10,175.63 and 15,587.44

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Solution

The third proportional to 10,175.63 and 15,587.44 is: 23,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.63 : 15,587.44 = 15,587.44 : x
  2. Step 2: Convert to fraction form
    10,175.63/15,587.44 = 15,587.44/x
  3. Step 3: Cross multiply
    10,175.63x = 15,587.44 × 15,587.44
  4. Step 4: Simplify right side
    10,175.63x = 242,968,207.82
  5. Step 5: Solve for x
    x = 242,968,207.82/10,175.63
  6. Step 6: Final answer
    x = 23,877.47

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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.