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Finding the Third Proportional to 27,559.50 and 59,484

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Solution

The third proportional to 27,559.50 and 59,484 is: 128,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,559.50 : 59,484 = 59,484 : x
  2. Step 2: Convert to fraction form
    27,559.50/59,484 = 59,484/x
  3. Step 3: Cross multiply
    27,559.50x = 59,484 × 59,484
  4. Step 4: Simplify right side
    27,559.50x = 3,538,346,256
  5. Step 5: Solve for x
    x = 3,538,346,256/27,559.50
  6. Step 6: Final answer
    x = 128,389.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.