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Finding the Third Proportional to 1,567.13 and 1,762.88

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Solution

The third proportional to 1,567.13 and 1,762.88 is: 1,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.13 : 1,762.88 = 1,762.88 : x
  2. Step 2: Convert to fraction form
    1,567.13/1,762.88 = 1,762.88/x
  3. Step 3: Cross multiply
    1,567.13x = 1,762.88 × 1,762.88
  4. Step 4: Simplify right side
    1,567.13x = 3,107,728.27
  5. Step 5: Solve for x
    x = 3,107,728.27/1,567.13
  6. Step 6: Final answer
    x = 1,983.08

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.