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Finding the Third Proportional to 32,059.13 and 45,495

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Solution

The third proportional to 32,059.13 and 45,495 is: 64,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,059.13 : 45,495 = 45,495 : x
  2. Step 2: Convert to fraction form
    32,059.13/45,495 = 45,495/x
  3. Step 3: Cross multiply
    32,059.13x = 45,495 × 45,495
  4. Step 4: Simplify right side
    32,059.13x = 2,069,795,025
  5. Step 5: Solve for x
    x = 2,069,795,025/32,059.13
  6. Step 6: Final answer
    x = 64,561.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.