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Finding the Third Proportional to 10,828.69 and 24,710.06

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Solution

The third proportional to 10,828.69 and 24,710.06 is: 56,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.69 : 24,710.06 = 24,710.06 : x
  2. Step 2: Convert to fraction form
    10,828.69/24,710.06 = 24,710.06/x
  3. Step 3: Cross multiply
    10,828.69x = 24,710.06 × 24,710.06
  4. Step 4: Simplify right side
    10,828.69x = 610,587,188.75
  5. Step 5: Solve for x
    x = 610,587,188.75/10,828.69
  6. Step 6: Final answer
    x = 56,386.08

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.