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Finding the Third Proportional to 1,565 and 3,420.50

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Solution

The third proportional to 1,565 and 3,420.50 is: 7,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565 : 3,420.50 = 3,420.50 : x
  2. Step 2: Convert to fraction form
    1,565/3,420.50 = 3,420.50/x
  3. Step 3: Cross multiply
    1,565x = 3,420.50 × 3,420.50
  4. Step 4: Simplify right side
    1,565x = 11,699,820.25
  5. Step 5: Solve for x
    x = 11,699,820.25/1,565
  6. Step 6: Final answer
    x = 7,475.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.