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Finding the Third Proportional to 7,971 and 13,060.50

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Solution

The third proportional to 7,971 and 13,060.50 is: 21,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 13,060.50 = 13,060.50 : x
  2. Step 2: Convert to fraction form
    7,971/13,060.50 = 13,060.50/x
  3. Step 3: Cross multiply
    7,971x = 13,060.50 × 13,060.50
  4. Step 4: Simplify right side
    7,971x = 170,576,660.25
  5. Step 5: Solve for x
    x = 170,576,660.25/7,971
  6. Step 6: Final answer
    x = 21,399.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.