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Finding the Third Proportional to 3,480 and 7,594.50

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Solution

The third proportional to 3,480 and 7,594.50 is: 16,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480 : 7,594.50 = 7,594.50 : x
  2. Step 2: Convert to fraction form
    3,480/7,594.50 = 7,594.50/x
  3. Step 3: Cross multiply
    3,480x = 7,594.50 × 7,594.50
  4. Step 4: Simplify right side
    3,480x = 57,676,430.25
  5. Step 5: Solve for x
    x = 57,676,430.25/3,480
  6. Step 6: Final answer
    x = 16,573.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.