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Finding the Third Proportional to 9,315 and 19,722.23

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Solution

The third proportional to 9,315 and 19,722.23 is: 41,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315 : 19,722.23 = 19,722.23 : x
  2. Step 2: Convert to fraction form
    9,315/19,722.23 = 19,722.23/x
  3. Step 3: Cross multiply
    9,315x = 19,722.23 × 19,722.23
  4. Step 4: Simplify right side
    9,315x = 388,966,528.74
  5. Step 5: Solve for x
    x = 388,966,528.74/9,315
  6. Step 6: Final answer
    x = 41,757.01

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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.