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Finding the Third Proportional to 10,742.06 and 23,070.94

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Solution

The third proportional to 10,742.06 and 23,070.94 is: 49,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.06 : 23,070.94 = 23,070.94 : x
  2. Step 2: Convert to fraction form
    10,742.06/23,070.94 = 23,070.94/x
  3. Step 3: Cross multiply
    10,742.06x = 23,070.94 × 23,070.94
  4. Step 4: Simplify right side
    10,742.06x = 532,268,157.13
  5. Step 5: Solve for x
    x = 532,268,157.13/10,742.06
  6. Step 6: Final answer
    x = 49,549.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.