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Finding the Third Proportional to 14,312 and 26,608

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Solution

The third proportional to 14,312 and 26,608 is: 49,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312 : 26,608 = 26,608 : x
  2. Step 2: Convert to fraction form
    14,312/26,608 = 26,608/x
  3. Step 3: Cross multiply
    14,312x = 26,608 × 26,608
  4. Step 4: Simplify right side
    14,312x = 707,985,664
  5. Step 5: Solve for x
    x = 707,985,664/14,312
  6. Step 6: Final answer
    x = 49,467.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.