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Finding the Third Proportional to 13,477.50 and 28,351.13

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Solution

The third proportional to 13,477.50 and 28,351.13 is: 59,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.50 : 28,351.13 = 28,351.13 : x
  2. Step 2: Convert to fraction form
    13,477.50/28,351.13 = 28,351.13/x
  3. Step 3: Cross multiply
    13,477.50x = 28,351.13 × 28,351.13
  4. Step 4: Simplify right side
    13,477.50x = 803,786,288.77
  5. Step 5: Solve for x
    x = 803,786,288.77/13,477.50
  6. Step 6: Final answer
    x = 59,639.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.