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Finding the Third Proportional to 6,928.95 and 14,350.08

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Solution

The third proportional to 6,928.95 and 14,350.08 is: 29,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.95 : 14,350.08 = 14,350.08 : x
  2. Step 2: Convert to fraction form
    6,928.95/14,350.08 = 14,350.08/x
  3. Step 3: Cross multiply
    6,928.95x = 14,350.08 × 14,350.08
  4. Step 4: Simplify right side
    6,928.95x = 205,924,742.19
  5. Step 5: Solve for x
    x = 205,924,742.19/6,928.95
  6. Step 6: Final answer
    x = 29,719.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.