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Finding the Third Proportional to 1,869.33 and 4,445.51

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Solution

The third proportional to 1,869.33 and 4,445.51 is: 10,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.33 : 4,445.51 = 4,445.51 : x
  2. Step 2: Convert to fraction form
    1,869.33/4,445.51 = 4,445.51/x
  3. Step 3: Cross multiply
    1,869.33x = 4,445.51 × 4,445.51
  4. Step 4: Simplify right side
    1,869.33x = 19,762,539.71
  5. Step 5: Solve for x
    x = 19,762,539.71/1,869.33
  6. Step 6: Final answer
    x = 10,572.00

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.