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Finding the Third Proportional to 24,560 and 34,776

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Solution

The third proportional to 24,560 and 34,776 is: 49,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,560 : 34,776 = 34,776 : x
  2. Step 2: Convert to fraction form
    24,560/34,776 = 34,776/x
  3. Step 3: Cross multiply
    24,560x = 34,776 × 34,776
  4. Step 4: Simplify right side
    24,560x = 1,209,370,176
  5. Step 5: Solve for x
    x = 1,209,370,176/24,560
  6. Step 6: Final answer
    x = 49,241.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.