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Finding the Third Proportional to 9,709.88 and 21,303

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Solution

The third proportional to 9,709.88 and 21,303 is: 46,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.88 : 21,303 = 21,303 : x
  2. Step 2: Convert to fraction form
    9,709.88/21,303 = 21,303/x
  3. Step 3: Cross multiply
    9,709.88x = 21,303 × 21,303
  4. Step 4: Simplify right side
    9,709.88x = 453,817,809
  5. Step 5: Solve for x
    x = 453,817,809/9,709.88
  6. Step 6: Final answer
    x = 46,737.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.