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Finding the Third Proportional to 15,711.19 and 33,038.16

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Solution

The third proportional to 15,711.19 and 33,038.16 is: 69,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.19 : 33,038.16 = 33,038.16 : x
  2. Step 2: Convert to fraction form
    15,711.19/33,038.16 = 33,038.16/x
  3. Step 3: Cross multiply
    15,711.19x = 33,038.16 × 33,038.16
  4. Step 4: Simplify right side
    15,711.19x = 1,091,519,768.40
  5. Step 5: Solve for x
    x = 1,091,519,768.40/15,711.19
  6. Step 6: Final answer
    x = 69,474.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.