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Finding the Third Proportional to 6,570 and 15,433

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Solution

The third proportional to 6,570 and 15,433 is: 36,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570 : 15,433 = 15,433 : x
  2. Step 2: Convert to fraction form
    6,570/15,433 = 15,433/x
  3. Step 3: Cross multiply
    6,570x = 15,433 × 15,433
  4. Step 4: Simplify right side
    6,570x = 238,177,489
  5. Step 5: Solve for x
    x = 238,177,489/6,570
  6. Step 6: Final answer
    x = 36,252.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.