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Finding the Third Proportional to 32,340 and 51,430.50

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Solution

The third proportional to 32,340 and 51,430.50 is: 81,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,340 : 51,430.50 = 51,430.50 : x
  2. Step 2: Convert to fraction form
    32,340/51,430.50 = 51,430.50/x
  3. Step 3: Cross multiply
    32,340x = 51,430.50 × 51,430.50
  4. Step 4: Simplify right side
    32,340x = 2,645,096,330.25
  5. Step 5: Solve for x
    x = 2,645,096,330.25/32,340
  6. Step 6: Final answer
    x = 81,790.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.