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Finding the Third Proportional to 15,673.50 and 32,989.50

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Solution

The third proportional to 15,673.50 and 32,989.50 is: 69,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,673.50 : 32,989.50 = 32,989.50 : x
  2. Step 2: Convert to fraction form
    15,673.50/32,989.50 = 32,989.50/x
  3. Step 3: Cross multiply
    15,673.50x = 32,989.50 × 32,989.50
  4. Step 4: Simplify right side
    15,673.50x = 1,088,307,110.25
  5. Step 5: Solve for x
    x = 1,088,307,110.25/15,673.50
  6. Step 6: Final answer
    x = 69,436.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.