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Finding the Third Proportional to 23,507 and 52,935

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Solution

The third proportional to 23,507 and 52,935 is: 119,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507 : 52,935 = 52,935 : x
  2. Step 2: Convert to fraction form
    23,507/52,935 = 52,935/x
  3. Step 3: Cross multiply
    23,507x = 52,935 × 52,935
  4. Step 4: Simplify right side
    23,507x = 2,802,114,225
  5. Step 5: Solve for x
    x = 2,802,114,225/23,507
  6. Step 6: Final answer
    x = 119,203.40

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.