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Finding the Third Proportional to 11,032.50 and 26,021.50

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Solution

The third proportional to 11,032.50 and 26,021.50 is: 61,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.50 : 26,021.50 = 26,021.50 : x
  2. Step 2: Convert to fraction form
    11,032.50/26,021.50 = 26,021.50/x
  3. Step 3: Cross multiply
    11,032.50x = 26,021.50 × 26,021.50
  4. Step 4: Simplify right side
    11,032.50x = 677,118,462.25
  5. Step 5: Solve for x
    x = 677,118,462.25/11,032.50
  6. Step 6: Final answer
    x = 61,374.89

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.