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Finding the Third Proportional to 12,556.50 and 21,386.25

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Solution

The third proportional to 12,556.50 and 21,386.25 is: 36,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.50 : 21,386.25 = 21,386.25 : x
  2. Step 2: Convert to fraction form
    12,556.50/21,386.25 = 21,386.25/x
  3. Step 3: Cross multiply
    12,556.50x = 21,386.25 × 21,386.25
  4. Step 4: Simplify right side
    12,556.50x = 457,371,689.06
  5. Step 5: Solve for x
    x = 457,371,689.06/12,556.50
  6. Step 6: Final answer
    x = 36,425.09

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.