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Finding the Third Proportional to 875.39 and 1,883.53

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Solution

The third proportional to 875.39 and 1,883.53 is: 4,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.39 : 1,883.53 = 1,883.53 : x
  2. Step 2: Convert to fraction form
    875.39/1,883.53 = 1,883.53/x
  3. Step 3: Cross multiply
    875.39x = 1,883.53 × 1,883.53
  4. Step 4: Simplify right side
    875.39x = 3,547,689.97
  5. Step 5: Solve for x
    x = 3,547,689.97/875.39
  6. Step 6: Final answer
    x = 4,052.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.