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Finding the Third Proportional to 5,073.84 and 7,875.75

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Solution

The third proportional to 5,073.84 and 7,875.75 is: 12,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.84 : 7,875.75 = 7,875.75 : x
  2. Step 2: Convert to fraction form
    5,073.84/7,875.75 = 7,875.75/x
  3. Step 3: Cross multiply
    5,073.84x = 7,875.75 × 7,875.75
  4. Step 4: Simplify right side
    5,073.84x = 62,027,438.06
  5. Step 5: Solve for x
    x = 62,027,438.06/5,073.84
  6. Step 6: Final answer
    x = 12,224.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.