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Finding the Third Proportional to 870 and 2,032.50

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Solution

The third proportional to 870 and 2,032.50 is: 4,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    870 : 2,032.50 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    870/2,032.50 = 2,032.50/x
  3. Step 3: Cross multiply
    870x = 2,032.50 × 2,032.50
  4. Step 4: Simplify right side
    870x = 4,131,056.25
  5. Step 5: Solve for x
    x = 4,131,056.25/870
  6. Step 6: Final answer
    x = 4,748.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.