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Finding the Third Proportional to 4,728.53 and 7,554.12

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Solution

The third proportional to 4,728.53 and 7,554.12 is: 12,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.53 : 7,554.12 = 7,554.12 : x
  2. Step 2: Convert to fraction form
    4,728.53/7,554.12 = 7,554.12/x
  3. Step 3: Cross multiply
    4,728.53x = 7,554.12 × 7,554.12
  4. Step 4: Simplify right side
    4,728.53x = 57,064,730.74
  5. Step 5: Solve for x
    x = 57,064,730.74/4,728.53
  6. Step 6: Final answer
    x = 12,068.17

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.