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Finding the Third Proportional to 4,564.69 and 7,496.72

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Solution

The third proportional to 4,564.69 and 7,496.72 is: 12,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.69 : 7,496.72 = 7,496.72 : x
  2. Step 2: Convert to fraction form
    4,564.69/7,496.72 = 7,496.72/x
  3. Step 3: Cross multiply
    4,564.69x = 7,496.72 × 7,496.72
  4. Step 4: Simplify right side
    4,564.69x = 56,200,792.02
  5. Step 5: Solve for x
    x = 56,200,792.02/4,564.69
  6. Step 6: Final answer
    x = 12,312.08

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.