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Finding the Third Proportional to 32,455.69 and 52,207.03

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Solution

The third proportional to 32,455.69 and 52,207.03 is: 83,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,455.69 : 52,207.03 = 52,207.03 : x
  2. Step 2: Convert to fraction form
    32,455.69/52,207.03 = 52,207.03/x
  3. Step 3: Cross multiply
    32,455.69x = 52,207.03 × 52,207.03
  4. Step 4: Simplify right side
    32,455.69x = 2,725,574,111.94
  5. Step 5: Solve for x
    x = 2,725,574,111.94/32,455.69
  6. Step 6: Final answer
    x = 83,978.32

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.