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Finding the Third Proportional to 46,803 and 63,052.50

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Solution

The third proportional to 46,803 and 63,052.50 is: 84,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,803 : 63,052.50 = 63,052.50 : x
  2. Step 2: Convert to fraction form
    46,803/63,052.50 = 63,052.50/x
  3. Step 3: Cross multiply
    46,803x = 63,052.50 × 63,052.50
  4. Step 4: Simplify right side
    46,803x = 3,975,617,756.25
  5. Step 5: Solve for x
    x = 3,975,617,756.25/46,803
  6. Step 6: Final answer
    x = 84,943.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.