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Finding the Third Proportional to 14,261.06 and 32,269.64

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Solution

The third proportional to 14,261.06 and 32,269.64 is: 73,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.06 : 32,269.64 = 32,269.64 : x
  2. Step 2: Convert to fraction form
    14,261.06/32,269.64 = 32,269.64/x
  3. Step 3: Cross multiply
    14,261.06x = 32,269.64 × 32,269.64
  4. Step 4: Simplify right side
    14,261.06x = 1,041,329,706.07
  5. Step 5: Solve for x
    x = 1,041,329,706.07/14,261.06
  6. Step 6: Final answer
    x = 73,019.08

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.