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Finding the Third Proportional to 41,547 and 60,931.50

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Solution

The third proportional to 41,547 and 60,931.50 is: 89,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,547 : 60,931.50 = 60,931.50 : x
  2. Step 2: Convert to fraction form
    41,547/60,931.50 = 60,931.50/x
  3. Step 3: Cross multiply
    41,547x = 60,931.50 × 60,931.50
  4. Step 4: Simplify right side
    41,547x = 3,712,647,692.25
  5. Step 5: Solve for x
    x = 3,712,647,692.25/41,547
  6. Step 6: Final answer
    x = 89,360.19

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