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Finding the Third Proportional to 24,312 and 57,240

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Solution

The third proportional to 24,312 and 57,240 is: 134,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312 : 57,240 = 57,240 : x
  2. Step 2: Convert to fraction form
    24,312/57,240 = 57,240/x
  3. Step 3: Cross multiply
    24,312x = 57,240 × 57,240
  4. Step 4: Simplify right side
    24,312x = 3,276,417,600
  5. Step 5: Solve for x
    x = 3,276,417,600/24,312
  6. Step 6: Final answer
    x = 134,765.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.