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Finding the Third Proportional to 24,253 and 37,461

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Solution

The third proportional to 24,253 and 37,461 is: 57,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,253 : 37,461 = 37,461 : x
  2. Step 2: Convert to fraction form
    24,253/37,461 = 37,461/x
  3. Step 3: Cross multiply
    24,253x = 37,461 × 37,461
  4. Step 4: Simplify right side
    24,253x = 1,403,326,521
  5. Step 5: Solve for x
    x = 1,403,326,521/24,253
  6. Step 6: Final answer
    x = 57,861.98

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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.