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Finding the Third Proportional to 2,875.29 and 4,356.07

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Solution

The third proportional to 2,875.29 and 4,356.07 is: 6,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.29 : 4,356.07 = 4,356.07 : x
  2. Step 2: Convert to fraction form
    2,875.29/4,356.07 = 4,356.07/x
  3. Step 3: Cross multiply
    2,875.29x = 4,356.07 × 4,356.07
  4. Step 4: Simplify right side
    2,875.29x = 18,975,348.57
  5. Step 5: Solve for x
    x = 18,975,348.57/2,875.29
  6. Step 6: Final answer
    x = 6,599.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.