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Finding the Third Proportional to 1,875.50 and 4,421.75

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Solution

The third proportional to 1,875.50 and 4,421.75 is: 10,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.50 : 4,421.75 = 4,421.75 : x
  2. Step 2: Convert to fraction form
    1,875.50/4,421.75 = 4,421.75/x
  3. Step 3: Cross multiply
    1,875.50x = 4,421.75 × 4,421.75
  4. Step 4: Simplify right side
    1,875.50x = 19,551,873.06
  5. Step 5: Solve for x
    x = 19,551,873.06/1,875.50
  6. Step 6: Final answer
    x = 10,424.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.