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Finding the Third Proportional to 14,663.53 and 24,182.30

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Solution

The third proportional to 14,663.53 and 24,182.30 is: 39,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.53 : 24,182.30 = 24,182.30 : x
  2. Step 2: Convert to fraction form
    14,663.53/24,182.30 = 24,182.30/x
  3. Step 3: Cross multiply
    14,663.53x = 24,182.30 × 24,182.30
  4. Step 4: Simplify right side
    14,663.53x = 584,783,482.15
  5. Step 5: Solve for x
    x = 584,783,482.15/14,663.53
  6. Step 6: Final answer
    x = 39,880.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.