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Finding the Third Proportional to 7,302.38 and 15,971.63

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Solution

The third proportional to 7,302.38 and 15,971.63 is: 34,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.38 : 15,971.63 = 15,971.63 : x
  2. Step 2: Convert to fraction form
    7,302.38/15,971.63 = 15,971.63/x
  3. Step 3: Cross multiply
    7,302.38x = 15,971.63 × 15,971.63
  4. Step 4: Simplify right side
    7,302.38x = 255,092,805.14
  5. Step 5: Solve for x
    x = 255,092,805.14/7,302.38
  6. Step 6: Final answer
    x = 34,932.85

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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.