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Finding the Third Proportional to 17,000.50 and 31,206.50

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Solution

The third proportional to 17,000.50 and 31,206.50 is: 57,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.50 : 31,206.50 = 31,206.50 : x
  2. Step 2: Convert to fraction form
    17,000.50/31,206.50 = 31,206.50/x
  3. Step 3: Cross multiply
    17,000.50x = 31,206.50 × 31,206.50
  4. Step 4: Simplify right side
    17,000.50x = 973,845,642.25
  5. Step 5: Solve for x
    x = 973,845,642.25/17,000.50
  6. Step 6: Final answer
    x = 57,283.35

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.