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Finding the Third Proportional to 46,038.38 and 67,543.88

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Solution

The third proportional to 46,038.38 and 67,543.88 is: 99,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,038.38 : 67,543.88 = 67,543.88 : x
  2. Step 2: Convert to fraction form
    46,038.38/67,543.88 = 67,543.88/x
  3. Step 3: Cross multiply
    46,038.38x = 67,543.88 × 67,543.88
  4. Step 4: Simplify right side
    46,038.38x = 4,562,175,050.02
  5. Step 5: Solve for x
    x = 4,562,175,050.02/46,038.38
  6. Step 6: Final answer
    x = 99,095.05

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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.