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Finding the Third Proportional to 7,582.95 and 15,771.39

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Solution

The third proportional to 7,582.95 and 15,771.39 is: 32,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.95 : 15,771.39 = 15,771.39 : x
  2. Step 2: Convert to fraction form
    7,582.95/15,771.39 = 15,771.39/x
  3. Step 3: Cross multiply
    7,582.95x = 15,771.39 × 15,771.39
  4. Step 4: Simplify right side
    7,582.95x = 248,736,685.24
  5. Step 5: Solve for x
    x = 248,736,685.24/7,582.95
  6. Step 6: Final answer
    x = 32,802.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.