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Finding the Third Proportional to 7,124.63 and 10,315.69

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Solution

The third proportional to 7,124.63 and 10,315.69 is: 14,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.63 : 10,315.69 = 10,315.69 : x
  2. Step 2: Convert to fraction form
    7,124.63/10,315.69 = 10,315.69/x
  3. Step 3: Cross multiply
    7,124.63x = 10,315.69 × 10,315.69
  4. Step 4: Simplify right side
    7,124.63x = 106,413,408.60
  5. Step 5: Solve for x
    x = 106,413,408.60/7,124.63
  6. Step 6: Final answer
    x = 14,936.00

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.