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Finding the Third Proportional to 10,461 and 14,631.75

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Solution

The third proportional to 10,461 and 14,631.75 is: 20,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461 : 14,631.75 = 14,631.75 : x
  2. Step 2: Convert to fraction form
    10,461/14,631.75 = 14,631.75/x
  3. Step 3: Cross multiply
    10,461x = 14,631.75 × 14,631.75
  4. Step 4: Simplify right side
    10,461x = 214,088,108.06
  5. Step 5: Solve for x
    x = 214,088,108.06/10,461
  6. Step 6: Final answer
    x = 20,465.36

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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.