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Finding the Third Proportional to 6,681 and 13,582.50

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Solution

The third proportional to 6,681 and 13,582.50 is: 27,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681 : 13,582.50 = 13,582.50 : x
  2. Step 2: Convert to fraction form
    6,681/13,582.50 = 13,582.50/x
  3. Step 3: Cross multiply
    6,681x = 13,582.50 × 13,582.50
  4. Step 4: Simplify right side
    6,681x = 184,484,306.25
  5. Step 5: Solve for x
    x = 184,484,306.25/6,681
  6. Step 6: Final answer
    x = 27,613.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.