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Finding the Third Proportional to 9,635.63 and 14,959.69

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Solution

The third proportional to 9,635.63 and 14,959.69 is: 23,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.63 : 14,959.69 = 14,959.69 : x
  2. Step 2: Convert to fraction form
    9,635.63/14,959.69 = 14,959.69/x
  3. Step 3: Cross multiply
    9,635.63x = 14,959.69 × 14,959.69
  4. Step 4: Simplify right side
    9,635.63x = 223,792,250.10
  5. Step 5: Solve for x
    x = 223,792,250.10/9,635.63
  6. Step 6: Final answer
    x = 23,225.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.