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Finding the Third Proportional to 12,970.50 and 26,415.75

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Solution

The third proportional to 12,970.50 and 26,415.75 is: 53,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.50 : 26,415.75 = 26,415.75 : x
  2. Step 2: Convert to fraction form
    12,970.50/26,415.75 = 26,415.75/x
  3. Step 3: Cross multiply
    12,970.50x = 26,415.75 × 26,415.75
  4. Step 4: Simplify right side
    12,970.50x = 697,791,848.06
  5. Step 5: Solve for x
    x = 697,791,848.06/12,970.50
  6. Step 6: Final answer
    x = 53,798.38

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.