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Finding the Third Proportional to 12,710 and 29,295

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Solution

The third proportional to 12,710 and 29,295 is: 67,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710 : 29,295 = 29,295 : x
  2. Step 2: Convert to fraction form
    12,710/29,295 = 29,295/x
  3. Step 3: Cross multiply
    12,710x = 29,295 × 29,295
  4. Step 4: Simplify right side
    12,710x = 858,197,025
  5. Step 5: Solve for x
    x = 858,197,025/12,710
  6. Step 6: Final answer
    x = 67,521.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.