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Finding the Third Proportional to 7,461 and 16,683.75

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Solution

The third proportional to 7,461 and 16,683.75 is: 37,307.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461 : 16,683.75 = 16,683.75 : x
  2. Step 2: Convert to fraction form
    7,461/16,683.75 = 16,683.75/x
  3. Step 3: Cross multiply
    7,461x = 16,683.75 × 16,683.75
  4. Step 4: Simplify right side
    7,461x = 278,347,514.06
  5. Step 5: Solve for x
    x = 278,347,514.06/7,461
  6. Step 6: Final answer
    x = 37,307.00

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.