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Finding the Third Proportional to 12,929.63 and 20,746.13

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Solution

The third proportional to 12,929.63 and 20,746.13 is: 33,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.63 : 20,746.13 = 20,746.13 : x
  2. Step 2: Convert to fraction form
    12,929.63/20,746.13 = 20,746.13/x
  3. Step 3: Cross multiply
    12,929.63x = 20,746.13 × 20,746.13
  4. Step 4: Simplify right side
    12,929.63x = 430,401,702.52
  5. Step 5: Solve for x
    x = 430,401,702.52/12,929.63
  6. Step 6: Final answer
    x = 33,288.03

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.