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Finding the Third Proportional to 13,068.50 and 28,297

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Solution

The third proportional to 13,068.50 and 28,297 is: 61,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068.50 : 28,297 = 28,297 : x
  2. Step 2: Convert to fraction form
    13,068.50/28,297 = 28,297/x
  3. Step 3: Cross multiply
    13,068.50x = 28,297 × 28,297
  4. Step 4: Simplify right side
    13,068.50x = 800,720,209
  5. Step 5: Solve for x
    x = 800,720,209/13,068.50
  6. Step 6: Final answer
    x = 61,271.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.