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Finding the Third Proportional to 23,506 and 35,263

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Solution

The third proportional to 23,506 and 35,263 is: 52,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506 : 35,263 = 35,263 : x
  2. Step 2: Convert to fraction form
    23,506/35,263 = 35,263/x
  3. Step 3: Cross multiply
    23,506x = 35,263 × 35,263
  4. Step 4: Simplify right side
    23,506x = 1,243,479,169
  5. Step 5: Solve for x
    x = 1,243,479,169/23,506
  6. Step 6: Final answer
    x = 52,900.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.