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Finding the Third Proportional to 23,140 and 34,758

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Solution

The third proportional to 23,140 and 34,758 is: 52,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,140 : 34,758 = 34,758 : x
  2. Step 2: Convert to fraction form
    23,140/34,758 = 34,758/x
  3. Step 3: Cross multiply
    23,140x = 34,758 × 34,758
  4. Step 4: Simplify right side
    23,140x = 1,208,118,564
  5. Step 5: Solve for x
    x = 1,208,118,564/23,140
  6. Step 6: Final answer
    x = 52,209.10

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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.