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Finding the Third Proportional to 10,052.16 and 14,785.73

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Solution

The third proportional to 10,052.16 and 14,785.73 is: 21,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.16 : 14,785.73 = 14,785.73 : x
  2. Step 2: Convert to fraction form
    10,052.16/14,785.73 = 14,785.73/x
  3. Step 3: Cross multiply
    10,052.16x = 14,785.73 × 14,785.73
  4. Step 4: Simplify right side
    10,052.16x = 218,617,941.01
  5. Step 5: Solve for x
    x = 218,617,941.01/10,052.16
  6. Step 6: Final answer
    x = 21,748.36

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Why These Related Problems?

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