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Finding the Third Proportional to 31,572 and 55,368

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Solution

The third proportional to 31,572 and 55,368 is: 97,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572 : 55,368 = 55,368 : x
  2. Step 2: Convert to fraction form
    31,572/55,368 = 55,368/x
  3. Step 3: Cross multiply
    31,572x = 55,368 × 55,368
  4. Step 4: Simplify right side
    31,572x = 3,065,615,424
  5. Step 5: Solve for x
    x = 3,065,615,424/31,572
  6. Step 6: Final answer
    x = 97,099.18

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.