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Finding the Third Proportional to 8,048.95 and 12,312.70

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Solution

The third proportional to 8,048.95 and 12,312.70 is: 18,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.95 : 12,312.70 = 12,312.70 : x
  2. Step 2: Convert to fraction form
    8,048.95/12,312.70 = 12,312.70/x
  3. Step 3: Cross multiply
    8,048.95x = 12,312.70 × 12,312.70
  4. Step 4: Simplify right side
    8,048.95x = 151,602,658.24
  5. Step 5: Solve for x
    x = 151,602,658.24/8,048.95
  6. Step 6: Final answer
    x = 18,835.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.