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Finding the Third Proportional to 15,285.38 and 32,232.94

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Solution

The third proportional to 15,285.38 and 32,232.94 is: 67,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285.38 : 32,232.94 = 32,232.94 : x
  2. Step 2: Convert to fraction form
    15,285.38/32,232.94 = 32,232.94/x
  3. Step 3: Cross multiply
    15,285.38x = 32,232.94 × 32,232.94
  4. Step 4: Simplify right side
    15,285.38x = 1,038,962,259.88
  5. Step 5: Solve for x
    x = 1,038,962,259.88/15,285.38
  6. Step 6: Final answer
    x = 67,971.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.