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Finding the Third Proportional to 5,000.63 and 7,777.13

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Solution

The third proportional to 5,000.63 and 7,777.13 is: 12,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.63 : 7,777.13 = 7,777.13 : x
  2. Step 2: Convert to fraction form
    5,000.63/7,777.13 = 7,777.13/x
  3. Step 3: Cross multiply
    5,000.63x = 7,777.13 × 7,777.13
  4. Step 4: Simplify right side
    5,000.63x = 60,483,673.27
  5. Step 5: Solve for x
    x = 60,483,673.27/5,000.63
  6. Step 6: Final answer
    x = 12,095.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.