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Finding the Third Proportional to 10,056.66 and 14,792.63

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Solution

The third proportional to 10,056.66 and 14,792.63 is: 21,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.66 : 14,792.63 = 14,792.63 : x
  2. Step 2: Convert to fraction form
    10,056.66/14,792.63 = 14,792.63/x
  3. Step 3: Cross multiply
    10,056.66x = 14,792.63 × 14,792.63
  4. Step 4: Simplify right side
    10,056.66x = 218,821,754.39
  5. Step 5: Solve for x
    x = 218,821,754.39/10,056.66
  6. Step 6: Final answer
    x = 21,758.90

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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.