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Finding the Third Proportional to 24,664.50 and 28,765.13

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Solution

The third proportional to 24,664.50 and 28,765.13 is: 33,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,664.50 : 28,765.13 = 28,765.13 : x
  2. Step 2: Convert to fraction form
    24,664.50/28,765.13 = 28,765.13/x
  3. Step 3: Cross multiply
    24,664.50x = 28,765.13 × 28,765.13
  4. Step 4: Simplify right side
    24,664.50x = 827,432,416.27
  5. Step 5: Solve for x
    x = 827,432,416.27/24,664.50
  6. Step 6: Final answer
    x = 33,547.50

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.