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Finding the Third Proportional to 12,378.75 and 27,106.13

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Solution

The third proportional to 12,378.75 and 27,106.13 is: 59,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.75 : 27,106.13 = 27,106.13 : x
  2. Step 2: Convert to fraction form
    12,378.75/27,106.13 = 27,106.13/x
  3. Step 3: Cross multiply
    12,378.75x = 27,106.13 × 27,106.13
  4. Step 4: Simplify right side
    12,378.75x = 734,742,012.52
  5. Step 5: Solve for x
    x = 734,742,012.52/12,378.75
  6. Step 6: Final answer
    x = 59,355.11

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1.5x scale

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.