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Finding the Third Proportional to 7,415.30 and 15,035.63

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Solution

The third proportional to 7,415.30 and 15,035.63 is: 30,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.30 : 15,035.63 = 15,035.63 : x
  2. Step 2: Convert to fraction form
    7,415.30/15,035.63 = 15,035.63/x
  3. Step 3: Cross multiply
    7,415.30x = 15,035.63 × 15,035.63
  4. Step 4: Simplify right side
    7,415.30x = 226,070,019.14
  5. Step 5: Solve for x
    x = 226,070,019.14/7,415.30
  6. Step 6: Final answer
    x = 30,486.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.