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Finding the Third Proportional to 24,820.13 and 37,459.13

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Solution

The third proportional to 24,820.13 and 37,459.13 is: 56,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.13 : 37,459.13 = 37,459.13 : x
  2. Step 2: Convert to fraction form
    24,820.13/37,459.13 = 37,459.13/x
  3. Step 3: Cross multiply
    24,820.13x = 37,459.13 × 37,459.13
  4. Step 4: Simplify right side
    24,820.13x = 1,403,186,045.77
  5. Step 5: Solve for x
    x = 1,403,186,045.77/24,820.13
  6. Step 6: Final answer
    x = 56,534.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.