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Finding the Third Proportional to 10,587.73 and 15,588.28

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Solution

The third proportional to 10,587.73 and 15,588.28 is: 22,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.73 : 15,588.28 = 15,588.28 : x
  2. Step 2: Convert to fraction form
    10,587.73/15,588.28 = 15,588.28/x
  3. Step 3: Cross multiply
    10,587.73x = 15,588.28 × 15,588.28
  4. Step 4: Simplify right side
    10,587.73x = 242,994,512.33
  5. Step 5: Solve for x
    x = 242,994,512.33/10,587.73
  6. Step 6: Final answer
    x = 22,950.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.