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Finding the Third Proportional to 12,570 and 26,346

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Solution

The third proportional to 12,570 and 26,346 is: 55,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570 : 26,346 = 26,346 : x
  2. Step 2: Convert to fraction form
    12,570/26,346 = 26,346/x
  3. Step 3: Cross multiply
    12,570x = 26,346 × 26,346
  4. Step 4: Simplify right side
    12,570x = 694,111,716
  5. Step 5: Solve for x
    x = 694,111,716/12,570
  6. Step 6: Final answer
    x = 55,219.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.