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Finding the Third Proportional to 2,354.63 and 3,459.94

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Solution

The third proportional to 2,354.63 and 3,459.94 is: 5,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.63 : 3,459.94 = 3,459.94 : x
  2. Step 2: Convert to fraction form
    2,354.63/3,459.94 = 3,459.94/x
  3. Step 3: Cross multiply
    2,354.63x = 3,459.94 × 3,459.94
  4. Step 4: Simplify right side
    2,354.63x = 11,971,167.50
  5. Step 5: Solve for x
    x = 11,971,167.50/2,354.63
  6. Step 6: Final answer
    x = 5,084.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.