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Finding the Third Proportional to 5,734.13 and 13,710.94

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Solution

The third proportional to 5,734.13 and 13,710.94 is: 32,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.13 : 13,710.94 = 13,710.94 : x
  2. Step 2: Convert to fraction form
    5,734.13/13,710.94 = 13,710.94/x
  3. Step 3: Cross multiply
    5,734.13x = 13,710.94 × 13,710.94
  4. Step 4: Simplify right side
    5,734.13x = 187,989,807.13
  5. Step 5: Solve for x
    x = 187,989,807.13/5,734.13
  6. Step 6: Final answer
    x = 32,784.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.