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Finding the Third Proportional to 29,281.50 and 46,557

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Solution

The third proportional to 29,281.50 and 46,557 is: 74,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,281.50 : 46,557 = 46,557 : x
  2. Step 2: Convert to fraction form
    29,281.50/46,557 = 46,557/x
  3. Step 3: Cross multiply
    29,281.50x = 46,557 × 46,557
  4. Step 4: Simplify right side
    29,281.50x = 2,167,554,249
  5. Step 5: Solve for x
    x = 2,167,554,249/29,281.50
  6. Step 6: Final answer
    x = 74,024.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.