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Finding the Third Proportional to 53,025 and 77,947.50

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Solution

The third proportional to 53,025 and 77,947.50 is: 114,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,025 : 77,947.50 = 77,947.50 : x
  2. Step 2: Convert to fraction form
    53,025/77,947.50 = 77,947.50/x
  3. Step 3: Cross multiply
    53,025x = 77,947.50 × 77,947.50
  4. Step 4: Simplify right side
    53,025x = 6,075,812,756.25
  5. Step 5: Solve for x
    x = 6,075,812,756.25/53,025
  6. Step 6: Final answer
    x = 114,583.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.