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Finding the Third Proportional to 24,348 and 37,597

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Solution

The third proportional to 24,348 and 37,597 is: 58,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348 : 37,597 = 37,597 : x
  2. Step 2: Convert to fraction form
    24,348/37,597 = 37,597/x
  3. Step 3: Cross multiply
    24,348x = 37,597 × 37,597
  4. Step 4: Simplify right side
    24,348x = 1,413,534,409
  5. Step 5: Solve for x
    x = 1,413,534,409/24,348
  6. Step 6: Final answer
    x = 58,055.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.