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Finding the Third Proportional to 18,931.19 and 29,700.06

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Solution

The third proportional to 18,931.19 and 29,700.06 is: 46,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,931.19 : 29,700.06 = 29,700.06 : x
  2. Step 2: Convert to fraction form
    18,931.19/29,700.06 = 29,700.06/x
  3. Step 3: Cross multiply
    18,931.19x = 29,700.06 × 29,700.06
  4. Step 4: Simplify right side
    18,931.19x = 882,093,712.50
  5. Step 5: Solve for x
    x = 882,093,712.50/18,931.19
  6. Step 6: Final answer
    x = 46,594.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.