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Finding the Third Proportional to 9,257.63 and 14,458.50

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Solution

The third proportional to 9,257.63 and 14,458.50 is: 22,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.63 : 14,458.50 = 14,458.50 : x
  2. Step 2: Convert to fraction form
    9,257.63/14,458.50 = 14,458.50/x
  3. Step 3: Cross multiply
    9,257.63x = 14,458.50 × 14,458.50
  4. Step 4: Simplify right side
    9,257.63x = 209,048,222.25
  5. Step 5: Solve for x
    x = 209,048,222.25/9,257.63
  6. Step 6: Final answer
    x = 22,581.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.