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Finding the Third Proportional to 9,957 and 13,264.50

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Solution

The third proportional to 9,957 and 13,264.50 is: 17,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957 : 13,264.50 = 13,264.50 : x
  2. Step 2: Convert to fraction form
    9,957/13,264.50 = 13,264.50/x
  3. Step 3: Cross multiply
    9,957x = 13,264.50 × 13,264.50
  4. Step 4: Simplify right side
    9,957x = 175,946,960.25
  5. Step 5: Solve for x
    x = 175,946,960.25/9,957
  6. Step 6: Final answer
    x = 17,670.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.