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Finding the Third Proportional to 30,779.50 and 47,102.50

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Solution

The third proportional to 30,779.50 and 47,102.50 is: 72,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,779.50 : 47,102.50 = 47,102.50 : x
  2. Step 2: Convert to fraction form
    30,779.50/47,102.50 = 47,102.50/x
  3. Step 3: Cross multiply
    30,779.50x = 47,102.50 × 47,102.50
  4. Step 4: Simplify right side
    30,779.50x = 2,218,645,506.25
  5. Step 5: Solve for x
    x = 2,218,645,506.25/30,779.50
  6. Step 6: Final answer
    x = 72,081.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.