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Finding the Third Proportional to 9,699.75 and 14,461.03

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Solution

The third proportional to 9,699.75 and 14,461.03 is: 21,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.75 : 14,461.03 = 14,461.03 : x
  2. Step 2: Convert to fraction form
    9,699.75/14,461.03 = 14,461.03/x
  3. Step 3: Cross multiply
    9,699.75x = 14,461.03 × 14,461.03
  4. Step 4: Simplify right side
    9,699.75x = 209,121,424.81
  5. Step 5: Solve for x
    x = 209,121,424.81/9,699.75
  6. Step 6: Final answer
    x = 21,559.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.