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Finding the Third Proportional to 5,359 and 7,521

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Solution

The third proportional to 5,359 and 7,521 is: 10,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359 : 7,521 = 7,521 : x
  2. Step 2: Convert to fraction form
    5,359/7,521 = 7,521/x
  3. Step 3: Cross multiply
    5,359x = 7,521 × 7,521
  4. Step 4: Simplify right side
    5,359x = 56,565,441
  5. Step 5: Solve for x
    x = 56,565,441/5,359
  6. Step 6: Final answer
    x = 10,555.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.