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Finding the Third Proportional to 6,931.13 and 15,130.13

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Solution

The third proportional to 6,931.13 and 15,130.13 is: 33,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.13 : 15,130.13 = 15,130.13 : x
  2. Step 2: Convert to fraction form
    6,931.13/15,130.13 = 15,130.13/x
  3. Step 3: Cross multiply
    6,931.13x = 15,130.13 × 15,130.13
  4. Step 4: Simplify right side
    6,931.13x = 228,920,682.52
  5. Step 5: Solve for x
    x = 228,920,682.52/6,931.13
  6. Step 6: Final answer
    x = 33,027.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.