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Finding the Third Proportional to 10,048.78 and 14,782.78

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Solution

The third proportional to 10,048.78 and 14,782.78 is: 21,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.78 : 14,782.78 = 14,782.78 : x
  2. Step 2: Convert to fraction form
    10,048.78/14,782.78 = 14,782.78/x
  3. Step 3: Cross multiply
    10,048.78x = 14,782.78 × 14,782.78
  4. Step 4: Simplify right side
    10,048.78x = 218,530,621.49
  5. Step 5: Solve for x
    x = 218,530,621.49/10,048.78
  6. Step 6: Final answer
    x = 21,746.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.