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Finding the Third Proportional to 7,921.13 and 16,810.88

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Solution

The third proportional to 7,921.13 and 16,810.88 is: 35,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.13 : 16,810.88 = 16,810.88 : x
  2. Step 2: Convert to fraction form
    7,921.13/16,810.88 = 16,810.88/x
  3. Step 3: Cross multiply
    7,921.13x = 16,810.88 × 16,810.88
  4. Step 4: Simplify right side
    7,921.13x = 282,605,518.27
  5. Step 5: Solve for x
    x = 282,605,518.27/7,921.13
  6. Step 6: Final answer
    x = 35,677.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.