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Finding the Third Proportional to 6,570 and 15,391

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Solution

The third proportional to 6,570 and 15,391 is: 36,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570 : 15,391 = 15,391 : x
  2. Step 2: Convert to fraction form
    6,570/15,391 = 15,391/x
  3. Step 3: Cross multiply
    6,570x = 15,391 × 15,391
  4. Step 4: Simplify right side
    6,570x = 236,882,881
  5. Step 5: Solve for x
    x = 236,882,881/6,570
  6. Step 6: Final answer
    x = 36,055.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.