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Finding the Third Proportional to 7,130.63 and 14,715.75

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Solution

The third proportional to 7,130.63 and 14,715.75 is: 30,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.63 : 14,715.75 = 14,715.75 : x
  2. Step 2: Convert to fraction form
    7,130.63/14,715.75 = 14,715.75/x
  3. Step 3: Cross multiply
    7,130.63x = 14,715.75 × 14,715.75
  4. Step 4: Simplify right side
    7,130.63x = 216,553,298.06
  5. Step 5: Solve for x
    x = 216,553,298.06/7,130.63
  6. Step 6: Final answer
    x = 30,369.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.