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Finding the Third Proportional to 817.59 and 1,875.02

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Solution

The third proportional to 817.59 and 1,875.02 is: 4,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.59 : 1,875.02 = 1,875.02 : x
  2. Step 2: Convert to fraction form
    817.59/1,875.02 = 1,875.02/x
  3. Step 3: Cross multiply
    817.59x = 1,875.02 × 1,875.02
  4. Step 4: Simplify right side
    817.59x = 3,515,712.89
  5. Step 5: Solve for x
    x = 3,515,712.89/817.59
  6. Step 6: Final answer
    x = 4,300.07

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.