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Finding the Third Proportional to 14,412 and 26,664

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Solution

The third proportional to 14,412 and 26,664 is: 49,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412 : 26,664 = 26,664 : x
  2. Step 2: Convert to fraction form
    14,412/26,664 = 26,664/x
  3. Step 3: Cross multiply
    14,412x = 26,664 × 26,664
  4. Step 4: Simplify right side
    14,412x = 710,968,896
  5. Step 5: Solve for x
    x = 710,968,896/14,412
  6. Step 6: Final answer
    x = 49,331.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.