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Finding the Third Proportional to 48,447 and 75,541.50

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Solution

The third proportional to 48,447 and 75,541.50 is: 117,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,447 : 75,541.50 = 75,541.50 : x
  2. Step 2: Convert to fraction form
    48,447/75,541.50 = 75,541.50/x
  3. Step 3: Cross multiply
    48,447x = 75,541.50 × 75,541.50
  4. Step 4: Simplify right side
    48,447x = 5,706,518,222.25
  5. Step 5: Solve for x
    x = 5,706,518,222.25/48,447
  6. Step 6: Final answer
    x = 117,788.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.