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Finding the Third Proportional to 7,461.75 and 10,459.75

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Solution

The third proportional to 7,461.75 and 10,459.75 is: 14,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.75 : 10,459.75 = 10,459.75 : x
  2. Step 2: Convert to fraction form
    7,461.75/10,459.75 = 10,459.75/x
  3. Step 3: Cross multiply
    7,461.75x = 10,459.75 × 10,459.75
  4. Step 4: Simplify right side
    7,461.75x = 109,406,370.06
  5. Step 5: Solve for x
    x = 109,406,370.06/7,461.75
  6. Step 6: Final answer
    x = 14,662.29

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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.