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Finding the Third Proportional to 7,810 and 14,513

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Solution

The third proportional to 7,810 and 14,513 is: 26,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810 : 14,513 = 14,513 : x
  2. Step 2: Convert to fraction form
    7,810/14,513 = 14,513/x
  3. Step 3: Cross multiply
    7,810x = 14,513 × 14,513
  4. Step 4: Simplify right side
    7,810x = 210,627,169
  5. Step 5: Solve for x
    x = 210,627,169/7,810
  6. Step 6: Final answer
    x = 26,968.91

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.