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Finding the Third Proportional to 29,423.72 and 37,779.28

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Solution

The third proportional to 29,423.72 and 37,779.28 is: 48,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,423.72 : 37,779.28 = 37,779.28 : x
  2. Step 2: Convert to fraction form
    29,423.72/37,779.28 = 37,779.28/x
  3. Step 3: Cross multiply
    29,423.72x = 37,779.28 × 37,779.28
  4. Step 4: Simplify right side
    29,423.72x = 1,427,274,091.77
  5. Step 5: Solve for x
    x = 1,427,274,091.77/29,423.72
  6. Step 6: Final answer
    x = 48,507.60

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.