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Finding the Third Proportional to 24,088 and 52,712

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Solution

The third proportional to 24,088 and 52,712 is: 115,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,088 : 52,712 = 52,712 : x
  2. Step 2: Convert to fraction form
    24,088/52,712 = 52,712/x
  3. Step 3: Cross multiply
    24,088x = 52,712 × 52,712
  4. Step 4: Simplify right side
    24,088x = 2,778,554,944
  5. Step 5: Solve for x
    x = 2,778,554,944/24,088
  6. Step 6: Final answer
    x = 115,350.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.