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Finding the Third Proportional to 12,929.25 and 18,295.50

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Solution

The third proportional to 12,929.25 and 18,295.50 is: 25,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.25 : 18,295.50 = 18,295.50 : x
  2. Step 2: Convert to fraction form
    12,929.25/18,295.50 = 18,295.50/x
  3. Step 3: Cross multiply
    12,929.25x = 18,295.50 × 18,295.50
  4. Step 4: Simplify right side
    12,929.25x = 334,725,320.25
  5. Step 5: Solve for x
    x = 334,725,320.25/12,929.25
  6. Step 6: Final answer
    x = 25,889.00

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