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Finding the Third Proportional to 15,752 and 24,712

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Solution

The third proportional to 15,752 and 24,712 is: 38,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752 : 24,712 = 24,712 : x
  2. Step 2: Convert to fraction form
    15,752/24,712 = 24,712/x
  3. Step 3: Cross multiply
    15,752x = 24,712 × 24,712
  4. Step 4: Simplify right side
    15,752x = 610,682,944
  5. Step 5: Solve for x
    x = 610,682,944/15,752
  6. Step 6: Final answer
    x = 38,768.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.