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Finding the Third Proportional to 46,977.50 and 72,709

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Solution

The third proportional to 46,977.50 and 72,709 is: 112,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977.50 : 72,709 = 72,709 : x
  2. Step 2: Convert to fraction form
    46,977.50/72,709 = 72,709/x
  3. Step 3: Cross multiply
    46,977.50x = 72,709 × 72,709
  4. Step 4: Simplify right side
    46,977.50x = 5,286,598,681
  5. Step 5: Solve for x
    x = 5,286,598,681/46,977.50
  6. Step 6: Final answer
    x = 112,534.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.