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Finding the Third Proportional to 32,640 and 44,038.50

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Solution

The third proportional to 32,640 and 44,038.50 is: 59,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640 : 44,038.50 = 44,038.50 : x
  2. Step 2: Convert to fraction form
    32,640/44,038.50 = 44,038.50/x
  3. Step 3: Cross multiply
    32,640x = 44,038.50 × 44,038.50
  4. Step 4: Simplify right side
    32,640x = 1,939,389,482.25
  5. Step 5: Solve for x
    x = 1,939,389,482.25/32,640
  6. Step 6: Final answer
    x = 59,417.57

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Why These Related Problems?

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