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Finding the Third Proportional to 1,445.34 and 1,860.47

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Solution

The third proportional to 1,445.34 and 1,860.47 is: 2,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.34 : 1,860.47 = 1,860.47 : x
  2. Step 2: Convert to fraction form
    1,445.34/1,860.47 = 1,860.47/x
  3. Step 3: Cross multiply
    1,445.34x = 1,860.47 × 1,860.47
  4. Step 4: Simplify right side
    1,445.34x = 3,461,343.97
  5. Step 5: Solve for x
    x = 3,461,343.97/1,445.34
  6. Step 6: Final answer
    x = 2,394.82

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.