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Finding the Third Proportional to 32,916.38 and 70,828.59

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Solution

The third proportional to 32,916.38 and 70,828.59 is: 152,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,916.38 : 70,828.59 = 70,828.59 : x
  2. Step 2: Convert to fraction form
    32,916.38/70,828.59 = 70,828.59/x
  3. Step 3: Cross multiply
    32,916.38x = 70,828.59 × 70,828.59
  4. Step 4: Simplify right side
    32,916.38x = 5,016,689,692.60
  5. Step 5: Solve for x
    x = 5,016,689,692.60/32,916.38
  6. Step 6: Final answer
    x = 152,407.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.