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Finding the Third Proportional to 25,164 and 34,776

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Solution

The third proportional to 25,164 and 34,776 is: 48,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,164 : 34,776 = 34,776 : x
  2. Step 2: Convert to fraction form
    25,164/34,776 = 34,776/x
  3. Step 3: Cross multiply
    25,164x = 34,776 × 34,776
  4. Step 4: Simplify right side
    25,164x = 1,209,370,176
  5. Step 5: Solve for x
    x = 1,209,370,176/25,164
  6. Step 6: Final answer
    x = 48,059.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.