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Finding the Third Proportional to 6,312.94 and 9,347.06

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Solution

The third proportional to 6,312.94 and 9,347.06 is: 13,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.94 : 9,347.06 = 9,347.06 : x
  2. Step 2: Convert to fraction form
    6,312.94/9,347.06 = 9,347.06/x
  3. Step 3: Cross multiply
    6,312.94x = 9,347.06 × 9,347.06
  4. Step 4: Simplify right side
    6,312.94x = 87,367,577.38
  5. Step 5: Solve for x
    x = 87,367,577.38/6,312.94
  6. Step 6: Final answer
    x = 13,839.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.