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Finding the Third Proportional to 24,955.13 and 36,702.38

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Solution

The third proportional to 24,955.13 and 36,702.38 is: 53,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,955.13 : 36,702.38 = 36,702.38 : x
  2. Step 2: Convert to fraction form
    24,955.13/36,702.38 = 36,702.38/x
  3. Step 3: Cross multiply
    24,955.13x = 36,702.38 × 36,702.38
  4. Step 4: Simplify right side
    24,955.13x = 1,347,064,330.64
  5. Step 5: Solve for x
    x = 1,347,064,330.64/24,955.13
  6. Step 6: Final answer
    x = 53,979.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.