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Finding the Third Proportional to 12,852.50 and 28,297

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Solution

The third proportional to 12,852.50 and 28,297 is: 62,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.50 : 28,297 = 28,297 : x
  2. Step 2: Convert to fraction form
    12,852.50/28,297 = 28,297/x
  3. Step 3: Cross multiply
    12,852.50x = 28,297 × 28,297
  4. Step 4: Simplify right side
    12,852.50x = 800,720,209
  5. Step 5: Solve for x
    x = 800,720,209/12,852.50
  6. Step 6: Final answer
    x = 62,300.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.