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Finding the Third Proportional to 7,773.19 and 16,490.81

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Solution

The third proportional to 7,773.19 and 16,490.81 is: 34,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.19 : 16,490.81 = 16,490.81 : x
  2. Step 2: Convert to fraction form
    7,773.19/16,490.81 = 16,490.81/x
  3. Step 3: Cross multiply
    7,773.19x = 16,490.81 × 16,490.81
  4. Step 4: Simplify right side
    7,773.19x = 271,946,896.91
  5. Step 5: Solve for x
    x = 271,946,896.91/7,773.19
  6. Step 6: Final answer
    x = 34,985.25

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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.