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Finding the Third Proportional to 1,506 and 3,595.50

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Solution

The third proportional to 1,506 and 3,595.50 is: 8,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506 : 3,595.50 = 3,595.50 : x
  2. Step 2: Convert to fraction form
    1,506/3,595.50 = 3,595.50/x
  3. Step 3: Cross multiply
    1,506x = 3,595.50 × 3,595.50
  4. Step 4: Simplify right side
    1,506x = 12,927,620.25
  5. Step 5: Solve for x
    x = 12,927,620.25/1,506
  6. Step 6: Final answer
    x = 8,584.08

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.