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Finding the Third Proportional to 9,807 and 25,464

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Solution

The third proportional to 9,807 and 25,464 is: 66,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807 : 25,464 = 25,464 : x
  2. Step 2: Convert to fraction form
    9,807/25,464 = 25,464/x
  3. Step 3: Cross multiply
    9,807x = 25,464 × 25,464
  4. Step 4: Simplify right side
    9,807x = 648,415,296
  5. Step 5: Solve for x
    x = 648,415,296/9,807
  6. Step 6: Final answer
    x = 66,117.60

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.