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Finding the Third Proportional to 4,353 and 6,570

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Solution

The third proportional to 4,353 and 6,570 is: 9,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353 : 6,570 = 6,570 : x
  2. Step 2: Convert to fraction form
    4,353/6,570 = 6,570/x
  3. Step 3: Cross multiply
    4,353x = 6,570 × 6,570
  4. Step 4: Simplify right side
    4,353x = 43,164,900
  5. Step 5: Solve for x
    x = 43,164,900/4,353
  6. Step 6: Final answer
    x = 9,916.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.