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Finding the Third Proportional to 10,254.75 and 26,713.50

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Solution

The third proportional to 10,254.75 and 26,713.50 is: 69,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.75 : 26,713.50 = 26,713.50 : x
  2. Step 2: Convert to fraction form
    10,254.75/26,713.50 = 26,713.50/x
  3. Step 3: Cross multiply
    10,254.75x = 26,713.50 × 26,713.50
  4. Step 4: Simplify right side
    10,254.75x = 713,611,082.25
  5. Step 5: Solve for x
    x = 713,611,082.25/10,254.75
  6. Step 6: Final answer
    x = 69,588.35

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.