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Finding the Third Proportional to 15,779.50 and 34,019

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Solution

The third proportional to 15,779.50 and 34,019 is: 73,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.50 : 34,019 = 34,019 : x
  2. Step 2: Convert to fraction form
    15,779.50/34,019 = 34,019/x
  3. Step 3: Cross multiply
    15,779.50x = 34,019 × 34,019
  4. Step 4: Simplify right side
    15,779.50x = 1,157,292,361
  5. Step 5: Solve for x
    x = 1,157,292,361/15,779.50
  6. Step 6: Final answer
    x = 73,341.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.