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Finding the Third Proportional to 7,853.63 and 10,657.13

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Solution

The third proportional to 7,853.63 and 10,657.13 is: 14,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.63 : 10,657.13 = 10,657.13 : x
  2. Step 2: Convert to fraction form
    7,853.63/10,657.13 = 10,657.13/x
  3. Step 3: Cross multiply
    7,853.63x = 10,657.13 × 10,657.13
  4. Step 4: Simplify right side
    7,853.63x = 113,574,313.27
  5. Step 5: Solve for x
    x = 113,574,313.27/7,853.63
  6. Step 6: Final answer
    x = 14,461.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.