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Finding the Third Proportional to 9,844.88 and 15,587.44

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Solution

The third proportional to 9,844.88 and 15,587.44 is: 24,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.88 : 15,587.44 = 15,587.44 : x
  2. Step 2: Convert to fraction form
    9,844.88/15,587.44 = 15,587.44/x
  3. Step 3: Cross multiply
    9,844.88x = 15,587.44 × 15,587.44
  4. Step 4: Simplify right side
    9,844.88x = 242,968,207.82
  5. Step 5: Solve for x
    x = 242,968,207.82/9,844.88
  6. Step 6: Final answer
    x = 24,679.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.