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Finding the Third Proportional to 7,041.50 and 14,946.25

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Solution

The third proportional to 7,041.50 and 14,946.25 is: 31,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.50 : 14,946.25 = 14,946.25 : x
  2. Step 2: Convert to fraction form
    7,041.50/14,946.25 = 14,946.25/x
  3. Step 3: Cross multiply
    7,041.50x = 14,946.25 × 14,946.25
  4. Step 4: Simplify right side
    7,041.50x = 223,390,389.06
  5. Step 5: Solve for x
    x = 223,390,389.06/7,041.50
  6. Step 6: Final answer
    x = 31,724.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.