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Finding the Third Proportional to 34,671 and 51,988.50

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Solution

The third proportional to 34,671 and 51,988.50 is: 77,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,671 : 51,988.50 = 51,988.50 : x
  2. Step 2: Convert to fraction form
    34,671/51,988.50 = 51,988.50/x
  3. Step 3: Cross multiply
    34,671x = 51,988.50 × 51,988.50
  4. Step 4: Simplify right side
    34,671x = 2,702,804,132.25
  5. Step 5: Solve for x
    x = 2,702,804,132.25/34,671
  6. Step 6: Final answer
    x = 77,955.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.