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Finding the Third Proportional to 42,281.25 and 65,011.50

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Solution

The third proportional to 42,281.25 and 65,011.50 is: 99,961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,281.25 : 65,011.50 = 65,011.50 : x
  2. Step 2: Convert to fraction form
    42,281.25/65,011.50 = 65,011.50/x
  3. Step 3: Cross multiply
    42,281.25x = 65,011.50 × 65,011.50
  4. Step 4: Simplify right side
    42,281.25x = 4,226,495,132.25
  5. Step 5: Solve for x
    x = 4,226,495,132.25/42,281.25
  6. Step 6: Final answer
    x = 99,961.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.