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Finding the Third Proportional to 10,057 and 15,660.50

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Solution

The third proportional to 10,057 and 15,660.50 is: 24,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057 : 15,660.50 = 15,660.50 : x
  2. Step 2: Convert to fraction form
    10,057/15,660.50 = 15,660.50/x
  3. Step 3: Cross multiply
    10,057x = 15,660.50 × 15,660.50
  4. Step 4: Simplify right side
    10,057x = 245,251,260.25
  5. Step 5: Solve for x
    x = 245,251,260.25/10,057
  6. Step 6: Final answer
    x = 24,386.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.