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Finding the Third Proportional to 10,342.69 and 14,461.03

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Solution

The third proportional to 10,342.69 and 14,461.03 is: 20,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.69 : 14,461.03 = 14,461.03 : x
  2. Step 2: Convert to fraction form
    10,342.69/14,461.03 = 14,461.03/x
  3. Step 3: Cross multiply
    10,342.69x = 14,461.03 × 14,461.03
  4. Step 4: Simplify right side
    10,342.69x = 209,121,424.81
  5. Step 5: Solve for x
    x = 209,121,424.81/10,342.69
  6. Step 6: Final answer
    x = 20,219.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.