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Finding the Third Proportional to 10,758.94 and 15,710.63

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Solution

The third proportional to 10,758.94 and 15,710.63 is: 22,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.94 : 15,710.63 = 15,710.63 : x
  2. Step 2: Convert to fraction form
    10,758.94/15,710.63 = 15,710.63/x
  3. Step 3: Cross multiply
    10,758.94x = 15,710.63 × 15,710.63
  4. Step 4: Simplify right side
    10,758.94x = 246,823,737.89
  5. Step 5: Solve for x
    x = 246,823,737.89/10,758.94
  6. Step 6: Final answer
    x = 22,941.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.