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Finding the Third Proportional to 5,301 and 6,877.50

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Solution

The third proportional to 5,301 and 6,877.50 is: 8,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301 : 6,877.50 = 6,877.50 : x
  2. Step 2: Convert to fraction form
    5,301/6,877.50 = 6,877.50/x
  3. Step 3: Cross multiply
    5,301x = 6,877.50 × 6,877.50
  4. Step 4: Simplify right side
    5,301x = 47,300,006.25
  5. Step 5: Solve for x
    x = 47,300,006.25/5,301
  6. Step 6: Final answer
    x = 8,922.85

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.