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Finding the Third Proportional to 37,787 and 55,528

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Solution

The third proportional to 37,787 and 55,528 is: 81,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,787 : 55,528 = 55,528 : x
  2. Step 2: Convert to fraction form
    37,787/55,528 = 55,528/x
  3. Step 3: Cross multiply
    37,787x = 55,528 × 55,528
  4. Step 4: Simplify right side
    37,787x = 3,083,358,784
  5. Step 5: Solve for x
    x = 3,083,358,784/37,787
  6. Step 6: Final answer
    x = 81,598.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.