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Finding the Third Proportional to 2,520 and 3,688.88

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Solution

The third proportional to 2,520 and 3,688.88 is: 5,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520 : 3,688.88 = 3,688.88 : x
  2. Step 2: Convert to fraction form
    2,520/3,688.88 = 3,688.88/x
  3. Step 3: Cross multiply
    2,520x = 3,688.88 × 3,688.88
  4. Step 4: Simplify right side
    2,520x = 13,607,798.77
  5. Step 5: Solve for x
    x = 13,607,798.77/2,520
  6. Step 6: Final answer
    x = 5,399.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.