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Finding the Third Proportional to 39,507 and 57,700.50

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Solution

The third proportional to 39,507 and 57,700.50 is: 84,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,507 : 57,700.50 = 57,700.50 : x
  2. Step 2: Convert to fraction form
    39,507/57,700.50 = 57,700.50/x
  3. Step 3: Cross multiply
    39,507x = 57,700.50 × 57,700.50
  4. Step 4: Simplify right side
    39,507x = 3,329,347,700.25
  5. Step 5: Solve for x
    x = 3,329,347,700.25/39,507
  6. Step 6: Final answer
    x = 84,272.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.