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Finding the Third Proportional to 12,802.50 and 29,657.25

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Solution

The third proportional to 12,802.50 and 29,657.25 is: 68,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.50 : 29,657.25 = 29,657.25 : x
  2. Step 2: Convert to fraction form
    12,802.50/29,657.25 = 29,657.25/x
  3. Step 3: Cross multiply
    12,802.50x = 29,657.25 × 29,657.25
  4. Step 4: Simplify right side
    12,802.50x = 879,552,477.56
  5. Step 5: Solve for x
    x = 879,552,477.56/12,802.50
  6. Step 6: Final answer
    x = 68,701.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.