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Finding the Third Proportional to 32,599.13 and 46,529.30

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Solution

The third proportional to 32,599.13 and 46,529.30 is: 66,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,599.13 : 46,529.30 = 46,529.30 : x
  2. Step 2: Convert to fraction form
    32,599.13/46,529.30 = 46,529.30/x
  3. Step 3: Cross multiply
    32,599.13x = 46,529.30 × 46,529.30
  4. Step 4: Simplify right side
    32,599.13x = 2,164,975,467.68
  5. Step 5: Solve for x
    x = 2,164,975,467.68/32,599.13
  6. Step 6: Final answer
    x = 66,412.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.