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Finding the Third Proportional to 5,386.50 and 8,415

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Solution

The third proportional to 5,386.50 and 8,415 is: 13,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.50 : 8,415 = 8,415 : x
  2. Step 2: Convert to fraction form
    5,386.50/8,415 = 8,415/x
  3. Step 3: Cross multiply
    5,386.50x = 8,415 × 8,415
  4. Step 4: Simplify right side
    5,386.50x = 70,812,225
  5. Step 5: Solve for x
    x = 70,812,225/5,386.50
  6. Step 6: Final answer
    x = 13,146.24

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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.