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Finding the Third Proportional to 5,276 and 7,437

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Solution

The third proportional to 5,276 and 7,437 is: 10,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276 : 7,437 = 7,437 : x
  2. Step 2: Convert to fraction form
    5,276/7,437 = 7,437/x
  3. Step 3: Cross multiply
    5,276x = 7,437 × 7,437
  4. Step 4: Simplify right side
    5,276x = 55,308,969
  5. Step 5: Solve for x
    x = 55,308,969/5,276
  6. Step 6: Final answer
    x = 10,483.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.