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Finding the Third Proportional to 1,790 and 4,152.50

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Solution

The third proportional to 1,790 and 4,152.50 is: 9,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790 : 4,152.50 = 4,152.50 : x
  2. Step 2: Convert to fraction form
    1,790/4,152.50 = 4,152.50/x
  3. Step 3: Cross multiply
    1,790x = 4,152.50 × 4,152.50
  4. Step 4: Simplify right side
    1,790x = 17,243,256.25
  5. Step 5: Solve for x
    x = 17,243,256.25/1,790
  6. Step 6: Final answer
    x = 9,633.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.