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Finding the Third Proportional to 40,281.75 and 66,528

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Solution

The third proportional to 40,281.75 and 66,528 is: 109,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,281.75 : 66,528 = 66,528 : x
  2. Step 2: Convert to fraction form
    40,281.75/66,528 = 66,528/x
  3. Step 3: Cross multiply
    40,281.75x = 66,528 × 66,528
  4. Step 4: Simplify right side
    40,281.75x = 4,425,974,784
  5. Step 5: Solve for x
    x = 4,425,974,784/40,281.75
  6. Step 6: Final answer
    x = 109,875.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.