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Finding the Third Proportional to 4,303.16 and 9,123.00

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Solution

The third proportional to 4,303.16 and 9,123.00 is: 19,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.16 : 9,123.00 = 9,123.00 : x
  2. Step 2: Convert to fraction form
    4,303.16/9,123.00 = 9,123.00/x
  3. Step 3: Cross multiply
    4,303.16x = 9,123.00 × 9,123.00
  4. Step 4: Simplify right side
    4,303.16x = 83,229,142.36
  5. Step 5: Solve for x
    x = 83,229,142.36/4,303.16
  6. Step 6: Final answer
    x = 19,341.38

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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.