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Finding the Third Proportional to 32,025.19 and 51,160.78

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Solution

The third proportional to 32,025.19 and 51,160.78 is: 81,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,025.19 : 51,160.78 = 51,160.78 : x
  2. Step 2: Convert to fraction form
    32,025.19/51,160.78 = 51,160.78/x
  3. Step 3: Cross multiply
    32,025.19x = 51,160.78 × 51,160.78
  4. Step 4: Simplify right side
    32,025.19x = 2,617,425,538.11
  5. Step 5: Solve for x
    x = 2,617,425,538.11/32,025.19
  6. Step 6: Final answer
    x = 81,730.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.