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Finding the Third Proportional to 10,050.75 and 15,929.16

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Solution

The third proportional to 10,050.75 and 15,929.16 is: 25,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.75 : 15,929.16 = 15,929.16 : x
  2. Step 2: Convert to fraction form
    10,050.75/15,929.16 = 15,929.16/x
  3. Step 3: Cross multiply
    10,050.75x = 15,929.16 × 15,929.16
  4. Step 4: Simplify right side
    10,050.75x = 253,738,018.84
  5. Step 5: Solve for x
    x = 253,738,018.84/10,050.75
  6. Step 6: Final answer
    x = 25,245.68

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.