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Finding the Third Proportional to 7,453.13 and 10,445.63

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Solution

The third proportional to 7,453.13 and 10,445.63 is: 14,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.13 : 10,445.63 = 10,445.63 : x
  2. Step 2: Convert to fraction form
    7,453.13/10,445.63 = 10,445.63/x
  3. Step 3: Cross multiply
    7,453.13x = 10,445.63 × 10,445.63
  4. Step 4: Simplify right side
    7,453.13x = 109,111,081.64
  5. Step 5: Solve for x
    x = 109,111,081.64/7,453.13
  6. Step 6: Final answer
    x = 14,639.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.