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Finding the Third Proportional to 7,077.38 and 15,582.38

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Solution

The third proportional to 7,077.38 and 15,582.38 is: 34,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.38 : 15,582.38 = 15,582.38 : x
  2. Step 2: Convert to fraction form
    7,077.38/15,582.38 = 15,582.38/x
  3. Step 3: Cross multiply
    7,077.38x = 15,582.38 × 15,582.38
  4. Step 4: Simplify right side
    7,077.38x = 242,810,410.64
  5. Step 5: Solve for x
    x = 242,810,410.64/7,077.38
  6. Step 6: Final answer
    x = 34,307.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.