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Finding the Third Proportional to 15,594.75 and 34,303.13

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Solution

The third proportional to 15,594.75 and 34,303.13 is: 75,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,594.75 : 34,303.13 = 34,303.13 : x
  2. Step 2: Convert to fraction form
    15,594.75/34,303.13 = 34,303.13/x
  3. Step 3: Cross multiply
    15,594.75x = 34,303.13 × 34,303.13
  4. Step 4: Simplify right side
    15,594.75x = 1,176,704,384.77
  5. Step 5: Solve for x
    x = 1,176,704,384.77/15,594.75
  6. Step 6: Final answer
    x = 75,455.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.