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Finding the Third Proportional to 5,124.80 and 7,906.10

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Solution

The third proportional to 5,124.80 and 7,906.10 is: 12,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.80 : 7,906.10 = 7,906.10 : x
  2. Step 2: Convert to fraction form
    5,124.80/7,906.10 = 7,906.10/x
  3. Step 3: Cross multiply
    5,124.80x = 7,906.10 × 7,906.10
  4. Step 4: Simplify right side
    5,124.80x = 62,506,349.27
  5. Step 5: Solve for x
    x = 62,506,349.27/5,124.80
  6. Step 6: Final answer
    x = 12,196.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.